Answer
Graph of $y=-\frac{2}{3}x+5$.
Work Step by Step
To graph the given equation, substitute values of $x$ and then solve for $y$.
Choosing and substituting $x=0$, the value of $y$ in the given equation is
$$\begin{aligned}
y&=-\frac{2}{3}x+5
\\&=
-\frac{2}{3}(0)+5
\\&=
0+5
\\&=
5
.\end{aligned}
$$Hence, $(0,5)$ is a point on the line defined by the given equation.
Choosing and substituting $x=3$, the value of $y$ in the given equation is
$$\begin{aligned}
y&=-\frac{2}{3}x+5
\\&=
-\frac{2}{3}(3)+5
\\&=
-2+5
\\&=
3
.\end{aligned}
$$Hence, $(3,3)$ is a point on the line defined by the given equation.
Connecting the points $
(0,5)
$ and $
(3,3)
$ gives the graph of the given equation.
