Determine whether the lines through each pair of points are parallel.
-(-4, -2) and (-8, 16); (-6, -5) and (-8, 4)
A) parallel
B) not parallel

Question

Quizplus · Accepted Answer

The slope of the line through (-4, -2) and (-8, 16) is (16 - (-2)) / (-8 - (-4)) = 18 / -4 = -9/2. The slope of the line through (-6, -5) and (-8, 4) is (4 - (-5)) / (-8 - (-6)) = 9 / -2 = -9/2. Since the slopes are equal, the lines are parallel.

Determine Whether the Lines Through Each Pair of Points Are