Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-5, -9), (-7, 2)
L2 : (-8, 1), (-19, -1)
A)parallel
B)perpendicular
C)neither

Question

Quizplus · Accepted Answer

To determine whether lines L1 and L2 are parallel or perpendicular, we need to find the slope of each line. Recall that the slope of a line through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1)/(x2 - x1)

For L1, we have:

slope = (2 - (-9))/(-7 - (-5)) = 11/-2

For L2, we have:

slope = (-1 - 1)/(-19 - (-8)) = -2/11

If two lines are parallel, their slopes are equal. If two lines are perpendicular, their slopes are negative reciprocals of each other (i.e., the product of their slopes is -1).

Since the slopes of L1 and L2 are neither equal nor negative reciprocals, the lines are neither parallel nor perpendicular. Therefore, the answer is B) neither.

Determine Whether Lines L1 and L2 Passing Through the Pairs