In the \(xy\)-plane, which of the following two points lie on the line segment that is perpendicular to the line \(2y = 3x + 6?\)
A. \((-2,4)\) and \((0,1)\)
B. \((5,6)\) and \((6,5)\)
C. \((-4,7)\) and \((-7,9)\)
D. \((1,6)\) and \((-2,4)\)
E. \((-8,12)\) and \((-10,9)\)
Answer: C
Source: e-GMAT