Answer
graph of $y+4=-3x$:
Work Step by Step
In the form $y=mx+b,$ the given equation, $
y+4=-3x
,$ is equivalent to
\begin{align*}
y+4-4&=-3x-4
\\
y&=-3x-4
.\end{align*}
Using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $b$ is the $y$-intercept and $m$ is the slope, the equation above has the following characteristics:
\begin{align*}
\text{$y$-intercept: }&
-4
\\
\text{Slope: }&
-3\text{ or }\dfrac{-3}{1}
.\end{align*}
To graph the slope-intercept equation above, start at the $y$-intercept. This corresponds to the point $
(0,-4)
$. Using the notion of the slope as $\dfrac{rise}{run},$ then $rise=
-3
$ and $run=
1
.$ From the $y$-intercept, go $\text{
down
}$ by $rise=
-3
$ units and then go to the right by $run=
1
$ units. This results to the point $
(1,-7)
.$ Connecting this point and the $y$-intercept gives the graph of the given equation.