Answer
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow g(x)=-2x-3$
Let $g(x)=y$.
$\Rightarrow y=-2x-3$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=-3$.
Plot the $y-$ intercept $A=(0,-3)$.
The slope is $m=-2$ and
Slope $m=\frac{rise}{run}=\frac{-2}{1}$
The next point is $1$ unit right and $2$ unit down from the point $(0,-3)$.
Plot the point $B=(1,-5)$.
Draw a line through the two points.
