Answer
Attached:
Work Step by Step
To find 3 points to plot for the equation $x=−1.5y+7$, first, rewrite the equation in slope-intercept form: $y=mx+b$.
Isolate $y$ by subtracting 7 from each side of the equation to get $x-7=−1.5y$
Now, divide -1.5 on each side of the equation to get -$\frac{2}{3}$$x$+$\frac{14}{3}$$=y$
This reads the same as $y=$-$\frac{2}{3}$$x$+$\frac{14}{3}$
Now, substitute 3 values of x into the equation to get three values of y. For this example, I used -1,0, and 1.
$y=$-$\frac{2}{3}$$(-1)$+$\frac{14}{3}$$=$$\frac{16}{3}$$=$$5$$\frac{1}{3}$
$y=$-$\frac{2}{3}$$(0)$+$\frac{14}{3}$$=$$\frac{14}{3}$$=$$4$$\frac{2}{3}$
$y=$-$\frac{2}{3}$$(1)$+$\frac{14}{3}$$=$$\frac{12}{3}$$=4$
Display these x and y values in a table and then graph.
