Given:
The equation is,
[tex]3y-x=-12[/tex]To express the given function into slope-intercept form,
[tex]\begin{gathered} 3y-x=-12 \\ 3y=x-12 \\ \text{Divide by 3} \\ \frac{3y}{3}=\frac{x}{3}-\frac{12}{3} \\ y=\frac{x}{3}-4\ldots\text{. this is in the form y=mx+b} \end{gathered}[/tex]Answer:
[tex]y=\frac{x}{3}-4[/tex]