Question

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the given line. For what value of k are the graphs of y = 3x + 4 and 2y = kx + 9 parallel?

A. 1
B. 2
C. 3
D. 6

Answer 1

The answer is C.

In order for two lines to be parallel, they must have the same slope. The equations are given in slope intercept form (y=mx+b) where m is the slope.

Given y=3x+4, we know that the slope of the line and all parallel lines is 3.