Points A and B lie on the curve \(y = x^2 - 4x + 7\). Point A has coordinates (4, 7) and B is the stationary point of the curve. The equation of a line L is \(y = mx - 2\), where \(m\) is a constant.

(i) In the case where L passes through the mid-point of AB, find the value of \(m\).

(ii) Find the set of values of \(m\) for which L does not meet the curve.