Answer:[tex]y=-\frac{3}{2} x+12[/tex]
Step-by-step explanation:
Perpendicular lines have inversely proportional slopes. So make the slope negative and switch it to its reciprocal.
2/3x would change into -3/2x
Lets write that down for a starting point for our perpendicular line.
y = -3/2x + b
We were given the x and y value via the coords. x = 12 and y = -6
Now we have -6 = -3/2(12) + b. Multiply -3 and 12 to get -36, then divide by 2 to get -18. Now it's -6 = -18 + b. Solve for b by adding 18 to both sides to get b = 12
