Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
-(-7, 0) and (-1, 10); (-1, 8) and (2, 13)
A) neither
B) parallel
C) perpendicular

Question

Quizplus · Accepted Answer

The slopes of the lines must be compared to determine if they are parallel, perpendicular, or neither. The slope of a line through points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). For the first pair of points (-7, 0) and (-1, 10), the slope is (10 - 0) / (-1 + 7) = 10 / 6 = 5 / 3. For the second pair of points (-1, 8) and (2, 13), the slope is (13 - 8) / (2 + 1) = 5 / 3. Since both lines have the same slope, they are parallel.

Determine Whether the Lines Through Each Pair of Points Are