The points A A\,A and B B\,B have coordinates (−1,p+2)(-1, p + 2)(−1,p+2) and (2p−3,k)(2p - 3, k)(2p−3,k) where p p\,p and k k\,k are constants, with k≠3k \ne 3k=3. Given the gradient of AB AB\,AB is 13\displaystyle \frac{1}{3}31
Show that p=3k−45\displaystyle p = \frac{3k-4}{5}p=53k−4
Find the equation of the line that passes through A A\,A and BBB. Give your answer in terms of kkk.
Find the equation of the perpendicular bisector of ABABAB. Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, 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.