Final answer:
The equation becomes y = (-3/2)x - 3.
Step-by-step explanation:
The given equation is: 12x + 8y = -24.
To write it in slope-intercept form (y=mx+b), we need to isolate the y variable.
Step 1: Subtract 12x from both sides of the equation. This gives us 8y = -12x - 24.
Step 2: Divide both sides of the equation by 8 to solve for y. The equation becomes y = (-12/8)x - 3.
Therefore, the equation 12x + 8y = -24 in slope-intercept form is y = (-3/2)x - 3.