Answer
x-intercept: $(3, 0)$
y-intercept: $(0, -20)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$60=20x-3y
\\60=20x-3(0)
\\60=20x-0
\\60=20x
\\\frac{60}{20}=\frac{20x}{20}
\\3=x$
Thus, the x-intercept is $(3, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$60=20x-3y
\\60=20(0)-3y
\\60=0-3y
\\60=-3y
\\\frac{60}{-3}=\frac{-3y}{-3}
\\-20=y$
Thus, the y-intercept is $(0, -20)$.
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.