The straight line l l\,l has equation 2x−3y+k=02x - 3y + k = 02x−3y+k=0, where k>0k > 0k>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 in terms of kkk. Give your answer in the form c13c\sqrt{13}c13, where c c\,c is in terms of kkk.
260 exam-style questions on Edexcel A Level Maths Straight Line Graphs, 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. Each one has a worked solution and a mark scheme showing where the marks go.