(i)[1]
A straight line goes through the point $(2, 0)$ and has gradient $m$. State the equation of the line.
(ii)[6]
Determine the two values of $m$ for which the line is a tangent to the curve $y = x^2 - 4x + 5$. For each value of $m$, find the coordinates of the point where the line touches the curve.
(iii)[2]
Rewrite $x^2 - 4x + 5$ in the form $(x + a)^2 + b$ and hence, or otherwise, state the coordinates of the minimum point on the curve.