The coordinates of points \(A\) and \(C\) are \((0, -3)\) and \((3, 3),\) respectively. If point \(B\) lies on line

[Vincen]

The coordinates of points \(A\) and \(C\) are \((0, -3)\) and \((3, 3),\) respectively. If point \(B\) lies on line \(AC\) between points \(A\) and \(C,\) and if \(AB = 2BC,\) which of the following represents the coordinates of point \(B?\)

A. \((1, -\sqrt5)\)
B. \((1, -1)\)
C. \((2, 1)\)
D. \((1.5, 0)\)
E. \((\sqrt5, \sqrt5)\)

Answer: C

Source: Manhattan GMAT