Answer:
y = 3(x + 6)/2
Step-by-step explanation:
I'm assuming that you meant y = (2/3)x - 6.
If that's correct, start by interchanging x and y, obtaining:
x = (2/3)y - 6
Next, solve for y: (2/3)y = x + 6. Multiplying both sides of this equation by (3/2) isolates y, as desired, and results in:
y = 3(x + 6)/2. This is the inverse of y = (2/3)x - 6.