The point A A\,A has the coordinates (−1,4)(-1, 4)(−1,4), point B B\,B has the coordinates (3,−2)(3, -2)(3,−2). The perpendicular bisector of AB AB\,AB intersects the line y=3x+1y = 3x + 1y=3x+1 at the point PPP.
Find the midpoint of AB AB\,AB and the gradient of ABABAB.
Hence find the coordinates of PPP.
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.