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.
