Is y=4x-1 and 12x=3y+7 parallel, perpendicular, or neither

First, you simplify 12x=3y+7. Subrtact 7 from both side, get 12x-7=3y. Divide 3 from both sides, get y=4x - (7/3). Your 2 equations are y=4x-1 and y=4x-7/3. The 2 lines are parallel, since they have the same slope but different b's.