Answer
x-intercept: $(-20, 0)$
y-intercept: $(0, -4)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$-4x=20y+80
\\-4x=20(0)+80
\\-4x=0+80
\\-4x=80
\\\frac{-4x}{-4}=\frac{80}{-4}
\\x=-20$
Thus, the x-intercept is $(-20, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$-4x=20y+80
\\-4(0)=20y+80
\\0=20y+80
\\-80=20y
\\\frac{-80}{20}=\frac{20y}{20}
\\-4=y$
Thus, the y-intercept is $(0, -4)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.