Line \(A\) is drawn on a rectangular coordinate plane. If the coordinate pairs \((3,2)\) and \((-1,-2)\) lie on the

[AAPL]

Manhattan Prep

Line \(A\) is drawn on a rectangular coordinate plane. If the coordinate pairs \((3,2)\) and \((-1,-2)\) lie on the line \(A\), which of the following coordinate pairs does NOT lie on a line that is perpendicular to line \(A?\)

A. \((5,8)\) and \((4,9)\)
B. \((3,-1)\) and \((4,-2)\)
C. \((-1,6)\) and \((-4,9)\)
D. \((2,5)\) and \((-3,2)\)
E. \((7,1)\) and \((6,2)\)

OA D

[Kochgaway]

The slope of line A is (2+2)/(3+1) = 1
So the slope of any line perpendicular to this has to be -1

The lines firmed by pair of points in all options have slope -1 except option (D)

So, the answer is option (D)