Using a scale of \(\quantity{2}{cm}\) to one unit on each axis, draw the graph of \[y=6x-x^2\] for values of \(x\) from \(0\) to \(6\) inclusive.

Use your graph to solve the equation \[6x-x^2=7.\]

By adding a suitable straight line to your graph, solve the equation \[6x-x^2=8-\tfrac{1}{2}x.\]