Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. -8x + 6y = -1
4x + 3y = 11
A) Parallel
B) Perpendicular
C) Neither

Question

Quizplus · Accepted Answer

We need to rewrite both equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

-8x + 6y = -1  --> 6y = 8x - 1  --> y = (8/6)x - 1/6  --> y = (4/3)x - 1/6
4x + 3y = 11 --> 3y = -4x + 11  --> y = (-4/3)x + 11/3

The slopes of the two lines are (4/3) and (-4/3), which are negative reciprocals of each other. Therefore, the two lines are perpendicular.

Write the Lines in Slope-Intercept Form and State Whether They