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Exam-Style Questions on Coordinates and GraphsProblems on Coordinates and Graphs adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher |
René chooses two points at random on a sheet of graph paper by throwing two dice twice. He labels the points \(R\) and \(D\).
The scale used on both axes of the coordinate grid is 1 cm represents 1 unit.
\(R\) is the point \((5, 2)\) and \(D\) is the point \((1, 6)\).
(a) Calculate the length of the line segment \(RD\).
(b) Find the equation of the line that is perpendicular to \(RD\) and that passes through the point \((-5, 2)\).
Give your answer in the form \(y = mx + c\).
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