The straight line l l\,l has equation 2x−3y+24=02x - 3y + 24 = 02x−3y+24=0 and meets the coordinate axis at the points A A\,A and BBB.
Find the distance of the midpoint of AB AB\,AB from the origin.
Give your answer in the form k13k\sqrt{13}k13
Practise Edexcel A Level Maths Straight Line Graphs with exam-style questions for A Level Maths. 21 questions covering 5.1 y = mx + c, 5.2 Equations of Straight Lines, 5.3 Parallel and Perpendicular Lines, 5.4 Length and Area, and 5.5 Modelling with Straight Lines, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.