Writing any equation in slope-intercept form means keeping the "y" along in one side of the equation. The equation given in the question is 3x - 2y = 5 Subtracting 3x from both sides of the equation, we get - 2y = 5 - 3x Now, dividing both sides by - 2 we get y = (-5/2) + (3/2)x = 3/2 x - 5/2 The correct option is the second option that is given in the question.