The line represented by the equation \(y = -2 x + 6\) is the perpendicular bisector of the line segment \(AB.\) If \(A\) has the coordinates \((7,2),\) what are the coordinates for \(B?\)
A. \((-2, -1)\)
B. \((-1, -2)\)
C. \((-2, 1)\)
D. \((-1, 2)\)
E. \((7, 2)\)
Answer: B
Source: Manhattan GMAT