To rewrite the equation in slope-intercept form, we need to solve it for y.
9x + 12y = 396
First, let's isolate y by subtracting 9x from both sides of the equation:
12y = 396 - 9x
Next, divide both sides of the equation by 12 to solve for y:
y = (396 - 9x) / 12
Simplifying the expression on the right side:
y = (33 - (3/4)x)
Therefore, the equation in slope-intercept form is y = -(3/4)x + 33.