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