Question

The graph of which of the following will be parallel to the graph of 4x – 3y = –12?

A. y=4/3x - 3/2
B. 6x-4y=-8
C. y=3/4x +1
D. 4x – 2y = –12

Answer 1

First, we need to write the equation into the form y=mx + b which is as follows:

4x – 3y = –12
y = (4/3)x + 12

For an equation to be parallel, they should have the same slope. For this case, the slope should be 4/3. I believe the correct answer is option A. The graph of y=4/3x - 3/2 will be parallel to the graph of 4x – 3y = –12.