Quick Answer. <span>To solve the slope of 3x + 2y = 8, the equation must first be put into slope intercept form with y on the left side and the remaining numbers on the right side. It can be transformed to 2y = -3x + 8, which will then be simplified down to y = -3/2x + 8. The slope of the line is </span>-3/2<span>.</span>
