34:I[651451,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"UserProgressProvider"] 35:I[196793,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"Gingerbread"] 37:I[716297,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"TopicRecentlyViewed"] 38:I[647935,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"RecordResourceResume"] 39:I[426249,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"TopicQuestionBank"] 25:["$","$L34",null,{"bundle":{"topicIds":["43b3ff0e-f970-fc63-7b68-b72092e4b3a4"],"paperIds":[],"stageIds":[],"stageTopicIds":[],"stageAssessmentIds":[],"topicNoteIds":["5ee85874-bda7-4363-28a0-c5edcd065e51"]},"children":[["$","$L35",null,{"feature":"question-bank"}],"$L36",["$","$L37",null,{"subjectCode":"gcse_maths__wjec","subjectName":"Maths","topicSlug":"grade-3-3-15-drawing-linear-graphs","topicTitle":"Drawing Linear Graphs","sectionTitle":null,"activity":"worksheet","resourceTitle":"Drawing Linear Graphs Questions","resourceHref":"/gcse/maths/wjec/grade-3-3-15-drawing-linear-graphs/questions/q1","saveTrail":false}],["$","$L38",null,{"href":"/gcse/maths/wjec/grade-3-3-15-drawing-linear-graphs/questions/q1","label":"Drawing Linear Graphs","subjectCode":"gcse_maths__wjec","surface":"questions"}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"name\":\"Question 24 – Drawing Linear Graphs - GCSE Maths Questions\",\"description\":\"Practise Drawing Linear Graphs GCSE Maths exam-style questions with worked solutions on MathsGenie.\",\"learningResourceType\":\"Practice questions\",\"educationalLevel\":\"GCSE\",\"about\":{\"@type\":\"Thing\",\"name\":\"Drawing Linear Graphs\"},\"url\":\"https://mathsgenie.co.uk/gcse/maths/wjec/grade-3-3-15-drawing-linear-graphs/questions/q24\",\"inLanguage\":\"en-GB\",\"provider\":{\"@id\":\"https://mathsgenie.co.uk/#organization\"}}"}}],["$","div",null,{"className":"min-h-0 w-full flex-1 overflow-hidden bg-background","children":["$","$L39",null,{"backHref":"/gcse/maths/wjec/questions","basePath":"/gcse/maths/wjec/grade-3-3-15-drawing-linear-graphs/questions","formulaUrl":null,"initialIndex":23,"initialQuestionWindow":[{"id":"cb6ae992-8d3f-4b40-b76b-0b90aa4af311","revisionId":"f4e2f7de-1b1f-4fa2-83ef-4d1aae171fee","questionNumber":null,"questionType":"LA","specification":"","difficultyBand":"easy","tier":null,"totalMarks":4,"sourceTitle":null,"calculatorUse":"non_calc","isCalculation":false,"parts":[{"id":"beb1e1ed-9a49-48fe-8cd5-60da7bff5260","label":"a","content":"Complete the table of values for $y = 3x + 1$\n\n| $x$ | -2 | -1 | 0 | 1 | 2 | 3 |\n|-----|----|----|---|---|---|---|\n| $y$ | | | | | | |","markscheme":"- Correct values in table: -5, -2, 1, 4, 7, 10 B2\n- Award 1 mark for 2 or 3 correct values B1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Award 1 mark for 2 or 3 correct values.","code":"B"},{"id":"p2","marks":1,"description":"Award 2nd mark for all 6 correct values (-5, -2, 1, 4, 7, 10).","code":"B"}],"finalAnswers":["-5, -2, 1, 4, 7, 10"],"generatedAt":"2026-05-06T14:00:10.089Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]},{"id":"512dcbcd-863e-46bf-a0ca-63b3bbb64f91","label":"b","content":"On the grid, draw the graph of $y = 3x + 1$ for values of $x$ from -2 to 3\n\n![A coordinate grid for drawing the graph of y = 3x + 1.](https://assets.mathsgenie.co.uk/figures/coords/427dc7bc7f690124ca631d8a4431d46cdde59fba141ead920dd34e5ee7a4165e.png)","markscheme":"- Points plotted correctly from table M1\n- Correct straight line drawn from $x = -2$ to $x = 3$ A1\n\n![Solution](https://assets.mathsgenie.co.uk/figures/coords/643ac6c7891250373f108204299081343ed42846a8a1cae407479b7f4ccb978b.png)","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Points from the table plotted correctly.","code":"M"},{"id":"p2","marks":1,"description":"A single straight line correctly drawn for the specified range.","code":"A"}],"finalAnswers":[],"generatedAt":"2026-05-06T14:00:10.089Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"value_table","label":"Value table and straight line","steps":[{"type":"text","order":0,"title":"Choose the inputs","content":"Use the integer $x$-values across the required interval: $-2,-1,0,1,2,3$. For each one, substitute into $y=3x+1$ to find the point to plot.","highlights":[{"text":"for values of $x$ from -2 to 3","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$3(-2)+1=\\color{@sky}{\\htmlData{anchor=outneg2}{-5}}$"},{"latex":"$$3(-1)+1=\\color{@sky}{\\htmlData{anchor=outneg1}{-2}}$"},{"latex":"$$3(0)+1=\\color{@sky}{\\htmlData{anchor=out0}{1}}$"},{"latex":"$$3(1)+1=\\color{@sky}{\\htmlData{anchor=out1}{4}}$"},{"latex":"$$3(2)+1=\\color{@sky}{\\htmlData{anchor=out2}{7}}$"},{"latex":"$$3(3)+1=\\color{@sky}{\\htmlData{anchor=out3}{10}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"outneg2"},{"color":"sky","style":"text-color","anchor":"outneg1"},{"color":"sky","style":"text-color","anchor":"out0"},{"color":"sky","style":"text-color","anchor":"out1"}]},"order":1,"title":"Calculate the outputs","description":"For each input, multiply by three, then add one. These calculations give every point needed for the graph."},{"type":"graph","order":2,"title":"Plot the points","viewport":{"top":10.8,"left":-2.3,"right":3.4,"bottom":-6},"axisLabels":{"x":"x","y":"y"},"description":"Plot the six coordinates from the table: $(-2,-5)$, $(-1,-2)$, $(0,1)$, $(1,4)$, $(2,7)$ and $(3,10)$. Correctly plotted points earn M1.","expressions":[{"id":"expr-0","color":"sky","label":"(-2,-5)","latex":"(-2,-5)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-1","color":"sky","label":"(-1,-2)","latex":"(-1,-2)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-2","color":"sky","label":"(0,1)","latex":"(0,1)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-3","color":"sky","label":"(1,4)","latex":"(1,4)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-4","color":"sky","label":"(2,7)","latex":"(2,7)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-5","color":"sky","label":"(3,10)","latex":"(3,10)","pointStyle":"point","labelOrientation":"left"}]},{"type":"graph","order":3,"title":"Join with a ruler","viewport":{"top":10.8,"left":-2.3,"right":3.4,"bottom":-6},"axisLabels":{"x":"x","y":"y"},"description":"Use a ruler to draw one straight line through the points, stopping at the required endpoints $(-2,-5)$ and $(3,10)$. The correct line over this full interval earns A1.","expressions":[{"id":"expr-0","color":"green","latex":"y=3x+1\\left\\{-2\\le x\\le3\\right\\}"},{"id":"expr-1","color":"green","label":"(-2,-5)","latex":"(-2,-5)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-2","color":"sky","latex":"(-1,-2)","pointStyle":"point"},{"id":"expr-3","color":"sky","latex":"(0,1)","pointStyle":"point"},{"id":"expr-4","color":"sky","latex":"(1,4)","pointStyle":"point"},{"id":"expr-5","color":"sky","latex":"(2,7)","pointStyle":"point"},{"id":"expr-6","color":"green","label":"(3,10)","latex":"(3,10)","pointStyle":"point","labelOrientation":"left"},{"id":"expr-7","color":"green","label":"y=3x+1","latex":"(2.6,8.8)","hidden":true,"labelOrientation":"left"}]}]}],"generatedAt":"2026-07-19T07:43:16.750Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"cede7162-805d-46ce-b982-d9934f2bce05","revisionId":"8154f83e-25b4-4db0-a952-b1fc2e2c8f41","questionNumber":null,"questionType":"LA","specification":"","difficultyBand":"easy","tier":null,"totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","isCalculation":false,"parts":[{"id":"fb510654-9bf7-44b1-bab3-8b87bf20b699","label":"a","content":"On the grid, draw the graph of $y = 4x - 2$ for values of $x$ from -2 to 2.\n\n![A coordinate grid for drawing the graph of y = 4x - 2.](https://assets.mathsgenie.co.uk/figures/coords/91a047a4fd235ae8e36e40542ede0f85e70b0735e51f4d02cfacb4c2d49f8343.png)","markscheme":"- Correct table of values or at least 2 points correctly calculated B1\n- Points plotted correctly M1\n- Correct straight line drawn from $x = -2$ to $x = 2$ A1\n\n![Solution](https://assets.mathsgenie.co.uk/figures/coords/b870bfbdb111b704b293686e1804225d8a8724c0012ce6844ec436db729d345c.png)","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Correct table of values or at least 2 points correctly calculated (e.g., (-2, -10), (0, -2), (2, 6)).","code":"B"},{"id":"p2","marks":1,"description":"At least 2 points from their table or the correct equation plotted correctly.","code":"M"},{"id":"p3","marks":1,"description":"Correct straight line drawn from x = -2 to x = 2.","code":"A"}],"finalAnswers":["Line passing through (-2, -10) and (2, 6)"],"generatedAt":"2026-05-06T13:59:56.457Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"plot_straight_line","label":"Plot the straight line","steps":[{"type":"text","order":0,"title":"Calculate the coordinates","content":"Substitute each chosen $x$-value into $y=4x-2$. A useful table is\n\n$$\n\\begin{array}{c|ccccc}\nx&-2&-1&0&1&2\\\\ \\hline\ny&-10&-6&-2&2&6\n\\end{array}\n$$\n\nFor example, when $x=-1$, $y=4(-1)-2=-6$. At least two correctly calculated points earn **B1**; this complete table also gives the two end points needed for the required interval.","highlights":[{"text":"$$y = 4x - 2$","location":"specification"},{"text":"for values of $x$ from -2 to 2","location":"specification"}]},{"type":"graph","order":1,"title":"Plot the points","viewport":{"top":6.5,"left":-2.2,"right":2.2,"bottom":-10.5},"axisLabels":{"x":"x","y":"y"},"description":"Plot each calculated point accurately on the grid. This earns the plotting method mark M1.","expressions":[{"id":"expr-0","color":"sky","label":"(-2, -10)","latex":"(-2,-10)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-1","color":"sky","label":"(-1, -6)","latex":"(-1,-6)","pointStyle":"point","labelOrientation":"above"},{"id":"expr-2","color":"sky","label":"(0, -2)","latex":"(0,-2)","pointStyle":"point","labelOrientation":"left"},{"id":"expr-3","color":"sky","label":"(1, 2)","latex":"(1,2)","pointStyle":"point","labelOrientation":"above"},{"id":"expr-4","color":"sky","label":"(2, 6)","latex":"(2,6)","pointStyle":"point","labelOrientation":"below"}]},{"type":"graph","order":2,"title":"Join with a line","viewport":{"top":6.5,"left":-2.2,"right":2.2,"bottom":-10.5},"axisLabels":{"x":"x","y":"y"},"description":"Use a ruler to join the plotted points with one straight line, stopping at x = -2 and x = 2. A correct straight line over this interval earns A1.","expressions":[{"id":"expr-0","color":"green","latex":"y=4x-2\\left\\{-2\\le x\\le2\\right\\}"},{"id":"expr-1","color":"sky","label":"(-2, -10)","latex":"(-2,-10)","pointStyle":"point","labelOrientation":"right"},{"id":"expr-2","color":"sky","label":"(-1, -6)","latex":"(-1,-6)","pointStyle":"point","labelOrientation":"above"},{"id":"expr-3","color":"sky","label":"(0, -2)","latex":"(0,-2)","pointStyle":"point","labelOrientation":"left"},{"id":"expr-4","color":"sky","label":"(1, 2)","latex":"(1,2)","pointStyle":"point","labelOrientation":"above"},{"id":"expr-5","color":"sky","label":"(2, 6)","latex":"(2,6)","pointStyle":"point","labelOrientation":"below"}]}]}],"generatedAt":"2026-07-19T02:04:41.974Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"2d296b62-9588-4e75-a464-ac80ddd20515","revisionId":"ffc1e1e5-7e18-4335-8df4-a559b6a14f6d","questionNumber":"4","questionType":"LA","specification":"","difficultyBand":"easy","tier":null,"totalMarks":3,"sourceTitle":"Drawing Linear Graphs","calculatorUse":"non_calc","isCalculation":false,"parts":[{"id":"590301c9-9aaf-4f80-b9d2-bba20fb843bf","label":"0","content":"On the grid, draw the graph of $y = 2x - 3$ for values of $x$ from -3 to 3\n\n![A coordinate grid for drawing the graph of y = 2x - 3.](https://assets.mathsgenie.co.uk/booklet/b934298a9b0d623aba93ef0e98ed75f4f3894eae78bec0e1c2f922c4554379ce.jpg)","markscheme":"- Correct table of values or at least 2 points correctly calculated B1\n- Points plotted correctly M1\n- Correct straight line drawn from $x = -3$ to $x = 3$ A1\n\n![A coordinate grid with axes and a straight-line graph marked with plotted points.](https://assets.mathsgenie.co.uk/question-figures/v1/f1a50c579afc43a20c97e071ce826921.svg)","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates at least 2 correct points (e.g., (0, -3) and (2, 1)).","code":"B"},{"id":"p2","marks":1,"description":"Plots at least 2 points correctly on the grid.","code":"M"},{"id":"p3","marks":1,"description":"Draws a correct straight line through all points for the range $x = -3$ to $x = 3$.","code":"A"}],"finalAnswers":[],"generatedAt":"2026-05-05T10:32:41.417Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"table_and_plot","label":"Table of values and plotting","steps":[{"type":"text","order":0,"title":"Choose the inputs","content":"Use the integer values of $x$ from $-3$ to $3$. For each one, substitute it into $y=2x-3$.","highlights":[{"text":"for values of $x$ from -3 to 3","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y=2x-3$"},{"latex":"$$y=2\\htmlData{anchor=input}{\\color{@sky}{(-3)}}-3$"},{"latex":"$$y=\\htmlData{anchor=product}{\\color{@green}{-6}}-3$"},{"latex":"$$y=\\htmlData{anchor=output}{\\color{@green}{-9}}$"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"input"},{"color":"green","style":"text-color","anchor":"product"},{"color":"green","style":"text-color-with-background","anchor":"output"}]},"order":1,"title":"Calculate the outputs","description":"Substitute x = -3 into y = 2x - 3, then work through the calculation. Repeat this process for each chosen input value."},{"type":"text","order":2,"title":"Complete the table","content":"Your completed values should be:\n\n$$\\begin{array}{c|rrrrrrr}\nx&-3&-2&-1&0&1&2&3\\\\ \\hline\ny&-9&-7&-5&-3&-1&1&3\n\\end{array}$$\n\nA correct table, or at least two correctly calculated points, earns **B1**."},{"type":"graph","order":3,"title":"Plot the points","viewport":{"top":6,"left":-4.1,"right":4.1,"bottom":-10.2},"axisLabels":{"x":"x","y":"y"},"description":"Plot each coordinate from the table accurately. Plotting the points correctly earns **M1**.","expressions":[{"id":"expr-0","color":"sky","label":"(-3, -9)","latex":"(-3,-9)","labelOrientation":"left"},{"id":"expr-1","color":"sky","latex":"(-2,-7)"},{"id":"expr-2","color":"sky","latex":"(-1,-5)"},{"id":"expr-3","color":"sky","label":"(0, -3)","latex":"(0,-3)","labelOrientation":"left"},{"id":"expr-4","color":"sky","latex":"(1,-1)"},{"id":"expr-5","color":"sky","latex":"(2,1)"},{"id":"expr-6","color":"sky","label":"(3, 3)","latex":"(3,3)","labelOrientation":"above"}]},{"type":"graph","order":4,"title":"Join with a ruler","viewport":{"top":6,"left":-4.1,"right":4.1,"bottom":-10.2},"axisLabels":{"x":"x","y":"y"},"description":"Use a ruler to join the plotted points, stopping at the two required endpoints. Drawing the correct straight line from $x=-3$ to $x=3$ earns **A1**.","expressions":[{"id":"expr-0","color":"green","latex":"y=2x-3\\left\\{-3\\le x\\le3\\right\\}"},{"id":"expr-1","color":"green","label":"endpoint (-3, -9)","latex":"(-3,-9)","labelOrientation":"below"},{"id":"expr-2","color":"sky","latex":"(-2,-7)"},{"id":"expr-3","color":"sky","latex":"(-1,-5)"},{"id":"expr-4","color":"sky","label":"y-intercept (0, -3)","latex":"(0,-3)","labelOrientation":"left"},{"id":"expr-5","color":"sky","latex":"(1,-1)"},{"id":"expr-6","color":"sky","latex":"(2,1)"},{"id":"expr-7","color":"green","label":"endpoint (3, 3)","latex":"(3,3)","labelOrientation":"above"}]}]}],"generatedAt":"2026-07-19T06:44:33.966Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":{"methods":[{"id":"590301c9-9aaf-4f80-b9d2-bba20fb843bf:table_of_values","label":"Table of Values Method","steps":[{"type":"text","order":0,"title":"Set up a table","content":"To draw the graph of the linear equation $y = 2x - 3$ for $x$ from $-3$ to $3$, we start by setting up a table of values. We will choose integer values of $x$ from $-3$ to $3$ and substitute each one into our formula to find the corresponding $y$-values.\n\nOur equation is:\n$$y = 2x - 3$$\n\nLet's calculate the values systematically.","highlights":[{"text":"draw the graph of $y = 2x - 3$ for values of $x$ from -3 to 3","location":"specification"}]},{"type":"text","order":1,"title":"Calculate the y-values","content":"Let's substitute each integer $x$-value from $-3$ to $3$ into the equation $y = 2x - 3$:\n\n* For $x = -3$: \n $$y = 2(-3) - 3 = -6 - 3 = -9$$\n* For $x = -2$: \n $$y = 2(-2) - 3 = -4 - 3 = -7$$\n* For $x = -1$: \n $$y = 2(-1) - 3 = -2 - 3 = -5$$\n* For $x = 0$: \n $$y = 2(0) - 3 = 0 - 3 = -3$$\n* For $x = 1$: \n $$y = 2(1) - 3 = 2 - 3 = -1$$\n* For $x = 2$: \n $$y = 2(2) - 3 = 4 - 3 = 1$$\n* For $x = 3$: \n $$y = 2(3) - 3 = 6 - 3 = 3$$\n\nCalculating at least two points correctly earns you the first mark (**B1**). Completing the full table gives us our list of coordinates: \n\n$$(-3, -9), (-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1), (3, 3)$$"},{"type":"text","order":2,"title":"Plot the points","content":"Now, locate each coordinate pair on the grid:\n\n1. Start at the origin $(0,0)$.\n2. Move along the horizontal $x$-axis to the $x$-coordinate, then move vertically to the $y$-coordinate.\n3. Mark each point with a small, clear cross ($\\times$).\n\nPlotting these points accurately on your grid earns you the second mark (**M1**)."},{"type":"text","order":3,"title":"Draw the straight line","content":"Using a ruler, join all the plotted points with a single, continuous straight line.\n\nMake sure your line extends all the way from $x = -3$ to $x = 3$. \n\nBecause $y = 2x - 3$ is a linear equation, all your points must lie exactly on this straight line. If any point doesn't align, double-check your arithmetic for that point!\n\nDrawing this correct straight line from $x = -3$ to $x = 3$ earns the final mark (**A1**)."}]},{"id":"590301c9-9aaf-4f80-b9d2-bba20fb843bf:gradient_intercept","label":"Gradient-Intercept Method","steps":[{"type":"text","order":0,"title":"Identify the y-intercept","content":"A linear equation is written in the form $$y = mx + c$$ where $m$ is the gradient and $c$ is the $y$-intercept.\n\nLooking at our equation:\n$$y = 2x - 3$$\n\nThe constant term is $-3$, which means our $y$-intercept is at $(0, -3)$. \n\nLet's start by plotting this point directly on the $y$-axis.","highlights":[{"text":"y = 2x - 3","location":"specification"}]},{"type":"text","order":1,"title":"Understand the gradient","content":"The coefficient of $x$ is $2$, so the gradient ($m$) is $2$.\n\n$$\\text{Gradient} = \\frac{\\text{Change in } y}{\\text{Change in } x} = \\frac{2}{1}$$\n\nThis means for every $1$ unit we move to the right (positive $x$ direction), we move up by $2$ units (positive $y$ direction). Conversely, for every $1$ unit we move to the left, we move down by $2$ units."},{"type":"text","order":2,"title":"Plot subsequent points","content":"Let's use our gradient of $2$ to find other points starting from our $y$-intercept $(0, -3)$:\n\n* **Step right:** Move $1$ unit right and $2$ units up:\n $$(0 + 1, -3 + 2) = (1, -1)$$\n* **Step right again:** Move another $1$ unit right and $2$ units up:\n $$(1 + 1, -1 + 2) = (2, 1)$$\n* **Step right again:** Move another $1$ unit right and $2$ units up:\n $$(2 + 1, 1 + 2) = (3, 3)$$\n\nNow let's step left from $(0, -3)$ to find points for negative $x$ values:\n* **Step left:** Move $1$ unit left and $2$ units down:\n $$(0 - 1, -3 - 2) = (-1, -5)$$\n* **Step left again:** Move another $1$ unit left and $2$ units down:\n $$(-1 - 1, -5 - 2) = (-2, -7)$$\n* **Step left again:** Move another $1$ unit left and $2$ units down:\n $$(-2 - 1, -7 - 2) = (-3, -9)$$\n\nPlot these points on your grid."},{"type":"text","order":3,"title":"Draw the line","content":"Now, use a ruler to draw a straight, continuous line passing through all your plotted points.\n\nMake sure your line extends all the way from $x = -3$ (where $y = -9$) to $x = 3$ (where $y = 3$) to fully cover the range requested in the question.","highlights":[{"text":"values of x from -3 to 3","location":"specification"}]}]}],"generatedAt":"2026-06-12T13:06:07.335Z","modelVersion":"gemini-3.5-flash","explanationVersion":"v2"},"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"gcse_maths__wjec","summaries":[{"id":"ed0aa6e6-7eca-4813-8fa3-4eaa899e51fc","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":false},{"id":"146f04b9-0f2e-4a5d-b4e9-16ef2e6537eb","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"32f38b56-b569-426e-bb82-609aa610db6f","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"5b64a292-f3bc-4705-b27d-fa47ee4c895e","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"6b48c40a-1846-4e29-93af-909edd75d314","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7d637825-43d1-4126-8b09-dbf53555d8ee","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"939a3eb8-84fb-41ae-b06b-f052759acde5","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":false},{"id":"c398326d-d937-4500-b28f-744a330da057","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"eb97b467-0f4f-4010-a963-45b91c26515f","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0134009f-49ea-441d-b56a-b46600816d62","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"2522da3c-350e-44e8-9e61-223627158528","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"84550a5b-91a4-4e7c-8614-8d1490af3583","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b93bf801-786c-444f-8e31-fb543b9c7bd1","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"c2e9d857-8335-4e2d-9b9a-ec1305ec204c","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":false},{"id":"ca2a3e1f-4ec6-4c43-888a-be2c9b581ce1","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"f7fb7b7c-a5f8-4efb-8c36-fcb76a0d51d8","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"d37511de-168d-44c3-8ed5-6cb203f91f77","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"13688535-664c-493a-92dc-826716346764","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7229cab2-a3f5-4d31-bb6a-fa6b19e431be","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"9dc5f3ab-7d9a-4a10-9413-ec5d55184f36","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"b65edc97-d6a4-4cc6-886f-d5b0dc306038","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"c4f10484-831d-420c-b40a-cd4fb98d50ec","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"cb6ae992-8d3f-4b40-b76b-0b90aa4af311","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":false},{"id":"cede7162-805d-46ce-b982-d9934f2bce05","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"2d296b62-9588-4e75-a464-ac80ddd20515","difficultyBand":"easy","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"d2b96531-d36f-468e-8250-50c02df95fc1","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"d681bd52-e934-4b6d-9c08-9186a00e6570","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"ecaf5372-9646-4d22-bf8e-2ee8d685b027","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":false}],"title":"Drawing Linear Graphs","topicId":"43b3ff0e-f970-fc63-7b68-b72092e4b3a4","topicSidebar":"$L3a","topicSlug":"grade-3-3-15-drawing-linear-graphs","topicTitle":"Drawing Linear Graphs"}]}],"$L3b","$L3c"]}]

Drawing Linear Graphs

Question 9

Drawing Linear Graphs Questions

Drawing Linear Graphs

Question 9

Drawing Linear Graphs Questions