The point A A\,A has the coordinates (−3,5)(-3, 5)(−3,5), and point B B\,B has the coordinates (5,−7)(5, -7)(5,−7). The perpendicular bisector of AB AB\,AB intersects the line y=2x+ky = 2x + ky=2x+k at the point PPP.
Find the coordinates of P P\,P 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.