Let's begin by listing out the information given to us:
[tex]-3x+бу=-24[/tex]The slope-intercept form is given by:
[tex]\begin{gathered} -3x+бу=-24 \\ \text{Add 3x to both sides, we have:} \\ -3x+3x+бу=-24+3x \\ бу=-24+3x \\ Divide\text{ through by 6 we have:} \\ y=-\frac{24}{6}+\frac{3x}{6}\Rightarrow y=-4+\frac{1}{2}x \\ y=\frac{1}{2}x-4 \end{gathered}[/tex]