9. The curve \(C\) has equation \(y = \frac { 1 } { 3 } x ^ { 2 } + 8\)
The line \(L\) has equation \(y = 3 x + k\), where \(k\) is a positive constant.
- Sketch \(C\) and \(L\) on separate diagrams, showing the coordinates of the points at which \(C\) and \(L\) cut the axes.
Given that line \(L\) is a tangent to \(C\),
- find the value of \(k\).