Question

3. *** Graph 3x - 6y = 12 on the coordinate grid below. SHOW ALL WORK 5 4 3 2 . |-6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 -2 -5

Answer 1

Let's rewrite the equation in the slope intercept form:

`\begin{gathered} y=mx+b \\ \text{where:} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`
`\begin{gathered} 3x-6y=12 \\ \text{Solve for y:} \\ 6y=3x-12 \\ y=(1)/(2)x-2 \end{gathered}`

Evaluate the function for:

`x=-4,x=-2,x=0,x=2,x=4,x=-6,x=6`
`\begin{gathered} x=-6 \\ y=-(6)/(2)-2=-5 \\ (-6,-5) \\ --------- \\ x=-2 \\ y=-(2)/(2)-2=-3 \\ (-2,-3) \\ ------ \\ x=0 \\ y=(0)/(2)-2=-2 \\ (0,-2) \\ ------ \\ x=2 \\ y=(2)/(2)-2=-1 \\ (2,-1) \\ \end{gathered}`
`\begin{gathered} x=-4 \\ y=-(4)/(2)-2=-4 \\ (-4,-4) \\ ------- \\ x=4 \\ y=(4)/(2)-2=0 \\ (4,0) \\ ----- \\ x=6 \\ y=(6)/(2)-2=1 \\ (6,1) \end{gathered}`