1 The straight line \(L\) has equation \(y = 3 x - 1\) and the curve \(C\) has equation
$$y = ( x + 3 ) ( x - 1 )$$
- Sketch on the same axes the line \(L\) and the curve \(C\), showing the values of the intercepts on the \(x\)-axis and the \(y\)-axis.
- Show that the \(x\)-coordinates of the points of intersection of \(L\) and \(C\) satisfy the equation \(x ^ { 2 } - x - 2 = 0\).
- Hence find the coordinates of the points of intersection of \(L\) and \(C\).