SPS SPS SM 2021 January — Question 5

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2021
SessionJanuary
TopicSimultaneous equations

5. A curve \(C\) and a straight line \(L\) have respective equations $$y = x ^ { 2 } - 4 x - 5 \text { and } y = 2 x - 14$$ a) Find the coordinates of any points of intersection between \(C\) and \(L\).
b) Sketch in the same diagram the graph of \(C\) and the graph of \(L\). The sketch must include of any points of intersection between the graph of \(C\) and the coordinate axes, and any points of intersection between the graph of \(L\) and the coordinate axes.