Determine whether the pair of lines is parallel, perpendicular, or neither.
-3x - 6y = 15 36x + 9y = 15
A)Parallel
B)Perpendicular
C)Neither

Question

Quizplus · Accepted Answer

To determine the relationship between the lines, we first convert each equation to slope-intercept form (y = mx + b) to find their slopes. For the first equation, 3x - 6y = 15, the slope is 1/2. For the second equation, 36x + 9y = 15, the slope is -4. Since the slopes are neither equal (parallel) nor negative reciprocals (perpendicular), the lines are neither parallel nor perpendicular.

Determine Whether the Pair of Lines Is Parallel, Perpendicular, or Neither