Answer
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow h(x)=\frac{2}{3}x+4$
Let $h(x)=y$.
$\Rightarrow y=\frac{2}{3}x+4$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=4$.
Plot the $y-$ intercept $A=(0,4)$.
The slope is $m=\frac{2}{3}$ and
Slope $m=\frac{rise}{run}=\frac{2}{3}$
The next point is $3$ unit right and $2$ unit up from the point $(0,4)$.
Plot the point $B=(3,6)$.
Draw a line through the two points.
