Answer:
[tex]y = -\frac{1}{4} x-\frac{2}{3}[/tex]
Step-by-step explanation:
slope intercept form is y = mx + b
You need to solve the equation for y. First, subtract 3x from both sides since it is a positive 3x.
3x - 3x + 12y = -8 - 3x
rewrite the equation
12y = -3x - 8
divide all terms by 12
12y/12 = -3x/12 -8/12
Simplify the fractions
[tex]y = -\frac{1}{4} x-\frac{2}{3}[/tex]