Final answer:
To put the equation 9x + 12y = -108 into slope-intercept form, we need to isolate y. By following the steps of moving the x term, dividing both sides, and simplifying the fractions, we obtain the equation y = -3/4 * x - 9.
Step-by-step explanation:
To put the equation 9x + 12y = -108 into slope-intercept form, we need to solve for y.
First, let's move the 9x term to the right side of the equation:
12y = -108 - 9x
Next, let's divide both sides of the equation by 12 to isolate y:
y = (-108 - 9x) / 12
This can be simplified further by distributing the division:
y = -9/12 * x - 108/12
Finally, we can simplify the fractions:
y = -3/4 * x - 9