Question

 Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x - 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

A: y= 3/4x+2
B: y=-3/4x+2
C: y=-4/3x+2

Answer 1

Explanation:

Perpendicular lines have negative reciprocal slopes.

Parallel lines have identical slopes

As our original line has a slope of 3/4, both lines v and w have slope of -4/3

This means that

C: y = -4/3x + 2

is the only possible option.

Let's check that the given point fits on this line.

10 = -4/3(-6) + 2

10 = 10

So our answer is correct.