Higher November 2017 Paper 1 Q19

EdexcelCurrent spec4 marksLinear Graphs & Gradients

19

Rectangle ABCD on coordinate axes. Line L passes through A, E on the y-axis and B on the x-axis. Line M passes through A and D, with D on the negative x-axis. C is below the x-axis

\(ABCD\) is a rectangle.

\(A\), \(E\) and \(B\) are points on the straight line L with equation \(x + 2y = 12\)
\(A\) and \(D\) are points on the straight line M.

\(AE = EB\)

Find an equation for M. (4)