Answer
See the graph

Work Step by Step
Given: $4x+3y=-24$
$3y=-24-4x$
$y=-8-\frac{4}{3}x$
The y-intercept is $-8$. Plot the point $(0,-8)$.
Find the x-intercept:
$0=-8-\frac{4}{3}x$
$\frac{4}{3}x=-8$
$x=-6$
Plot another point $(-6,0)$.
Then draw a line through the two points.