9 A curve has equation \(y = 2 x ^ { 2 } - 3 x + 1\) and a line has equation \(y = k x + k ^ { 2 }\), where \(k\) is a constant.
- Show that, for all values of \(k\), the curve and the line meet.
- State the value of \(k\) for which the line is a tangent to the curve and find the coordinates of the point where the line touches the curve.