After multiplying both sides of the equation by #-3/2#, we get y = 0. This equation is now in the form of y = b, where b is a constant. The slope of such an equation is always zero because it is a horizontal line. The slope of a line is equal to rise / run. A horizontal line has no rise and the run can be any number, so the slope is 0/b (where b is a constant). This will always evaluate to 0.