Let's rewrite the equation in the slope intercept form:
[tex]\begin{gathered} y=mx+b \\ \text{where:} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex][tex]\begin{gathered} 3x-6y=12 \\ \text{Solve for y:} \\ 6y=3x-12 \\ y=\frac{1}{2}x-2 \end{gathered}[/tex]Evaluate the function for:
[tex]x=-4,x=-2,x=0,x=2,x=4,x=-6,x=6[/tex][tex]\begin{gathered} x=-6 \\ y=-\frac{6}{2}-2=-5 \\ (-6,-5) \\ --------- \\ x=-2 \\ y=-\frac{2}{2}-2=-3 \\ (-2,-3) \\ ------ \\ x=0 \\ y=\frac{0}{2}-2=-2 \\ (0,-2) \\ ------ \\ x=2 \\ y=\frac{2}{2}-2=-1 \\ (2,-1) \\ \end{gathered}[/tex][tex]\begin{gathered} x=-4 \\ y=-\frac{4}{2}-2=-4 \\ (-4,-4) \\ ------- \\ x=4 \\ y=\frac{4}{2}-2=0 \\ (4,0) \\ ----- \\ x=6 \\ y=\frac{6}{2}-2=1 \\ (6,1) \end{gathered}[/tex]
