Determine whether the pair of lines is parallel, perpendicular, or neither.
-3x - 4y = 6 8x + 6y = 6
A)Parallel
B)Perpendicular
C)Neither

Question

Quizplus · Accepted Answer

To determine the relationship between the two lines, we need to find their slopes. For the first equation, 3x - 4y = 6, we can rearrange it into slope-intercept form (y = mx + b) to find the slope (m). Doing so, we get y = (3/4)x - 3/2, so the slope is 3/4. For the second equation, 8x + 6y = 6, rearranging it into slope-intercept form gives us y = -(4/3)x + 1, so the slope is -4/3. Since the slopes are negative reciprocals of each other (3/4 and -4/3), the lines are perpendicular.

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