Show that the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (3, -3) and (5, -9).

Question

Philoid · Accepted Answer

For two lines to be perpendicular, their product of slope must be equal to -1.

Given points are A(-2,6),B(4,8) and C(3,-3),D(5,-9)

Slope of line AB×slope of line CD = -1

⇒-1 = -1
⇒LHS = RHS