Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow y=-4x-3$
For the vertical intercept plug $x=0$.
$\Rightarrow y=-4(0)-3$
Simplify.
$\Rightarrow y=-3$
The vertical intercept is $A=(0,-3)$
Slope is $m=-4=\frac{-4}{1}$, so the rise is $-4$ when the run is $1$.
Starting at $(0,-4)$ and going down $4$ and over $1$, we get to $B=(1,-7)$.
Repeat the same to get the next point $C=(2,-11)$.
By using theses three points draw a line.