Answer
see graph
Work Step by Step
$\bf{\text{Solution Outline:}}$
Substitute the given value of the variable in the given equation, $
2x-3y=12
,$ to complete the table.
$\bf{\text{Solution Details:}}$
If $x=1,$ then
\begin{array}{l}\require{cancel}
2x-3y=12
\\\\
2(1)-3y=12
\\\\
2-3y=12
\\\\
-3y=12-2
\\\\
-3y=10
\\\\
y=\dfrac{10}{-3}
\\\\
y=-\dfrac{10}{3}
.\end{array}
If $x=3,$ then
\begin{array}{l}\require{cancel}
2x-3y=12
\\\\
2(3)-3y=12
\\\\
6-3y=12
\\\\
-3y=12-6
\\\\
-3y=6
\\\\
y=\dfrac{6}{-3}
\\\\
y=-2
.\end{array}
If $y=-4,$ then
\begin{array}{l}\require{cancel}
2x-3y=12
\\\\
2x-3(-4)=12
\\\\
2x+12=12
\\\\
2x=12-12
\\\\
2x=0
\\\\
x=\dfrac{0}{2}
\\\\
x=0
.\end{array}
