We have to isolate y in order to find the slope; namely, solve for y in terms of x. Thus, we will subtract 3x by both sides. We have 4y = -3x - 12. Now, we have to divide by 4 to get y isolated. This gives us y = (-3/4)x - 3. The term in front of the x term in a linear equation is the slope. Thus, m = -3/4.