2x - 3y = 6 Dividing both sides of the equation by 3, we get 2/3 x - y = 2 y = 2/3 x - 2 Then, from the above equation we can tell that the slope of the line in the graph is 2/3. The slope of a line perpendicular to this slope will be - 3/2. The line also contains the points (-2,-3). Then, the equation of the perpendicular line will be y = mx + b - 3 = (- 3/2)(- 2) + b - 3 = 3 + b b = - 6 Then y = (-3/2)x - 6 y + 6 = (- 3/2)x 2y + 12 = - 3x 3x + 2y = - 12
