The points A A\,A and B B\,B have coordinates (−1,k+2)(-1, k + 2)(−1,k+2) and (2k−3,8)(2k - 3, 8)(2k−3,8) where k k\,k is a constant.
Given the gradient of AB AB\,AB is 13\displaystyle \frac{1}{3}31
Show that k=4k = 4k=4
Find the equation of the line that passes through A A\,A and BBB.
Find the equation of the perpendicular bisector of AB AB\,AB and BBB. Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0
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.