The points A A\,A and B B\,B have coordinates (1,k+1)(1, k + 1)(1,k+1) and (3k+1,7)(3k + 1, 7)(3k+1,7) where k k\,k is a constant. Given the gradient of AB AB\,AB is 23\displaystyle \frac{2}{3}32
Show that k=2k = 2k=2
Find the equation of the line that passes through A A\,A and BBB.
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
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.