Answer
$x-\text{intercept: }
(-4,0)
\\y-\text{intercept: }
(0,-3)
$
Work Step by Step
Substituting $y=0$ in the given equation, $
3x+4y=-12
$, then
\begin{array}{l}\require{cancel}
3x+4(0)=-12
\\\\
3x=-12
\\\\
x=-\dfrac{12}{3}
\\\\
x=-4
.\end{array}
Substituting $x=0$ in the given equation, $
3x+4y=-12
$, then
\begin{array}{l}\require{cancel}
3(0)+4y=-12
\\\\
4y=-12
\\\\
y=-\dfrac{12}{4}
\\\\
y=-3
.\end{array}
Hence, the given equation has the following characteristics:
\begin{array}{l}\require{cancel}
x-\text{intercept: }
(-4,0)
\\y-\text{intercept: }
(0,-3)
.\end{array}
Using the intercepts, the graph of the given equation is shown above.