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 AS Level Maths Straight Line Graphs with exam-style questions for AS 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 AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.