The diagram shows the curve with equation \(y = (3x - 2)^{\frac{1}{2}}\) and the line \(y = \frac{1}{2}x + 1\). The curve and the line intersect at points \(A\) and \(B\).

(a) Find the coordinates of \(A\) and \(B\).

(b) Hence find the area of the region enclosed between the curve and the line.