Answer
Refer to the graph below.
Work Step by Step
Using the properties of equality, the given equation, $
2x-3y=6
,$ is equivalent to
\begin{align*}
-3y&=-2x+6
\\\\
\dfrac{-3y}{-3}&=\dfrac{-2x+6}{-3}
\\\\
y&=\dfrac{-2}{-3}x+\dfrac{6}{-3}
\\\\
y&=\dfrac{2}{3}x-2
.\end{align*}
Using a table of values, the graph of $
y=\dfrac{2}{3}x-2
$ is determined.
