Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
-(10, 5) and (-6, -1); (-9, -6) and (-6, -14)
A) neither
B) perpendicular
C) parallel

Question

Quizplus · Accepted Answer

The slope between the first pair of points is (5 - (-1)) / (10 - (-6)) = 6 / 16 = 3 / 8. The slope between the second pair of points is (-6 - (-14)) / (-9 - (-6)) = 8 / -3 = -8 / 3. Since the slopes are negative reciprocals of each other, the lines are perpendicular.

Determine Whether the Lines Through Each Pair of Points Are