Answer
graph of $2x-\dfrac{3}{2}y=-3$:
Work Step by Step
The $x-$intercept is the value of $x$ when $y=0.$ Setting $y=0,$ the $x$-intercept of the given equation, $
2x-\dfrac{3}{2}y=-3
,$ is
\begin{align*}\require{cancel}
2x-\dfrac{3}{2}(0)&=-3
\\
2x&=-3
\\\\
\dfrac{2x}{2}&=-\dfrac{3}{2}
\\\\
x&=-\dfrac{3}{2}
.\end{align*}
The $x$-intercept is $
\left( -\dfrac{3}{2},0 \right)
$.
The $y-$intercept is the value of $y$ when $x=0.$ Setting $x=0,$ the $y$-intercept of the given equation is
\begin{align*}
2(0)-\dfrac{3}{2}y&=-3
\\\\
-\dfrac{3}{2}y&=-3
\\\\
\left(-\dfrac{2}{3}\right)\left(-\dfrac{3}{2}y\right)&=(-3)\left(-\dfrac{2}{3}\right)
\\\\
y&=(\cancel{-3}^1)\left(\dfrac{2}{\cancel{-3}^1}\right)
\\\\
y&=-2
.\end{align*}
The $y$-intercept is $
\left( 0,2 \right)
$.
By connecting the intercepts, the graph of the given equation is determined.