Determine the slope Of a line perpendicular to the line with equation 6x-4y=30

First, simplify the equation into y=mx+b form. This would be y=3x/2-15/2. And for the slope of a line perpendicular to the original line, there is a trick. Their slopes should multiply to - 1. For 3/2 to multiply to - 1, you need - 2/3.