Perpendicular lines have slopes whose product is -1. The slope given in y = 3x - 2 is -3. The slope of the perpendicular line will be m, and m needs to satisfy the equation 3 * m = -1 Hence m = -1/3. Our perpendicular line is thus y = (-1/3)x + b for some constant b. We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold: 5 = (-1/3)(-9) + b = 3 + b b = 2 Ans: y = (-1/3)x + 2
