The equation of a curve is \(y = 4x^2 - kx + \frac{1}{2}k^2\) and the equation of a line is \(y = x - a\), where \(k\) and \(a\) are constants.

Given that the curve and the line intersect at the points with \(x\)-coordinates 0 and \(\frac{3}{4}\), find the values of \(k\) and \(a\).