Answer
Refer to the image below for the graph.
Work Step by Step
First, we need to write this equation in slope-intercept form to make the slope and y-intercept clear.
To isolate $y$ and its coefficient, we add $2x$ to both sides, giving
$3y=2x-12$.
To completely isolate $y$, we divide both sides by 3, giving
$y=\frac{2}{3}x-\frac{12}{3}
\\y=\frac{2}{3}x-4$.
To graph the line, we graph two points using the equation and then connect the dots. One point we can use is the y-intercept, so $(0,-4)$.
Another point we can use is if $x=3$ (any value for $x$ works).
We substitute that into $y=\frac{2}{3}x-4$ to get
$y=\frac{2}{3}(3)-4=-2$
The point is $(3,-2)$.
Plot the two points then connect them using a line.
(refer to the attached image above for the graph)
