-2x + 3y = 12
3y = 2x + 12
y = 2/3x + 4...slope here is 2/3. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -3/2
3x + 2y = -2
2y = -3x - 2
y = -3/2x - 2.....this has a slope of -3/2
answer is : 3x + 2y = -2
