Answer
Graph:
Work Step by Step
The equation to graph by plotting 3 points is $x=\frac{2}{3}$$y$$-4$.
However, it will be easier to solve if we write this equation in slope-intercept form:
To get $y$ by itself, add 4 to both sides of the equation to get $x+4=\frac{2}{3}y$
Now, divide $\frac{2}{3}$ on each side of the equation to get $\frac{3}{2}x$$+6$=$y$
Rewrite with $y$ in front as $y=$$\frac{3}{2}x$$+6$
This explanation will plug in -2,0, and 2 for x, but any 3 numbers can be used:
$y=$$\frac{3}{2}(-2)$$+6=3$
$y=$$\frac{3}{2}(0)$$+6=6$
$y=$$\frac{3}{2}(2)$$+6=9$
These three solutions provide an x and y-coordinate for each point. The numbers substituted for x will be the x-coordinates and the solutions to that will be the y-coordinates:
(−2,3), (0,6), and (2,9).
