June 2018 Paper 1 Q11

AQAOld spec4 marksDifferentiation

11 A curve has equation \(\quad y = 2x^2 + 3x - 9\)

At a point \(P\) on the curve, the tangent is parallel to the line \(\quad y = 4 - 5x\)

Work out the coordinates of \(P\).
You must show your working. [4 marks]