Determine whether the lines through the given pairs of points are perpendicular. A (- 3, 7), B (4, 0) and C (- 2, - 2), D (3, - 4)
A) The lines through the given pairs of points are not perpendicular.
B) The lines through the given pairs of points are perpendicular.

Question

Determine whether the lines through the given pairs of points are perpendicular. A (- 3, 7), B (4, 0) and C (- 2, - 2), D (3, - 4) 
A) The lines through the given pairs of points are not perpendicular.
B) The lines through the given pairs of points are perpendicular.

Quizplus · Accepted Answer

The slope of the line through points A and B is (0-7)/(4-(-3)) = -7/7 = -1. The slope of the line through points C and D is (-4-(-2))/(3-(-2)) = -2/5. Since the product of the slopes is not -1 (-1 * -2/5 = 2/5), the lines are not perpendicular.

Determine Whether the Lines Through the Given Pairs of Points