Answer:
[tex]y = -\frac{1}{3}x -4[/tex]
Step-by-step explanation:
To put a standard equation in slope-intercept form, we would have to make 'y' the subject.
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[tex]x + 3y =-12\\
\rule{150}{0.5}\\
x - x + 3y = -12 -x\\\\
3y = -12 -x\\\\
3y = -x -12 \leftarrow\text{I switched the term order on the right side.}\\\\
\frac{3y = -x -12}{3}\\\\\
\boxed{y = -\frac{1}{3}x -4} [/tex]
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Hope this helps.
