Answer
Graph:
Work Step by Step
The equation to graph by plotting 3 points is $x=\frac{3}{4}y+1$.
However, it will be easier to solve if we write this equation in slope-intercept form:
To get y by itself, subtract 1 to both sides of the equation to get $x-1=$$\frac{3}{4}y$
Now, divide $\frac{3}{4}$ on each side of the equation to get $\frac{4}{3}x$$-$$\frac{4}{3}$$=y$
Rewrite with y in front as $y=$$\frac{4}{3}x$$-$$\frac{4}{3}$
This explanation will plug in -4,0, and 4 for x, but any 3 numbers can be used:
$\frac{4}{3}(-4)$$-$$\frac{4}{3}$$=-6\frac{2}{3}$
$\frac{4}{3}(0)$$-$$\frac{4}{3}$$=$-$\frac{4}{3}$
$\frac{4}{3}(4)$$-$$\frac{4}{3}$$=4$
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:
$(−4,-6\frac{2}{3})$, $(0,$-$\frac{4}{3})$, and $(4,4)$.
