Answer
graph of $y=-\dfrac{1}{2}x-\dfrac{3}{2}$:
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=-\dfrac{1}{2}x-\dfrac{3}{2}
,$ has the following characteristics:
\begin{align*}
\text{$y$-intercept: }&
-\dfrac{3}{2}
\\
\text{Slope: }&
-\dfrac{1}{2} \text{ or } \dfrac{-1}{2}
.\end{align*}
To graph the slope-intercept equation above, start at the $y$-intercept. This corresponds to the point $
\left( 0,-\dfrac{3}{2} \right)
$.
Using the notion of the slope as $\dfrac{rise}{run},$ then $rise=
-1
$ and $run=
2
.$
From the $y$-intercept, go $\text{
down
}$ by $rise=
-1
$ unit and then go to the right by $run=
2
$ units.
This results to the point $
\left( 2,-\dfrac{5}{2} \right)
.$
Connecting this point and the $y$-intercept gives the graph of the given equation.