Two points on L1 and two points on L2 are given. Determine whether L1 is parallel to L2, L1 is perpendicular to L2, or
neither.
-L1: (2, 3), (4, 7); L2: (1, -3), (-1, 1)
A) parallel
B) perpendicular
C) neither

Question

Quizplus · Accepted Answer

To determine whether lines are parallel, perpendicular, or neither, we need to first find the slope of each line. The slope of L1 is (7 - 3)/(4 - 2) = 2 and the slope of L2 is (1 - (-3))/(-1 - 1) = 2. Therefore, the slopes are equal, and the lines are parallel. However, to be sure, we could also check if the slopes are negative reciprocals, which would indicate that the lines are perpendicular. Since the slopes are equal and not negative reciprocals, the lines are not perpendicular. Therefore, the answer is C, neither parallel nor perpendicular.

Two Points on L1 and Two Points on L2 Are