Answer
x-intercept: $(8, 0)$
y-intercept: $(0, -40)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$y=-40+5x
\\0=-40+5x
\\40=5x
\\\frac{40}{5}=\frac{5x}{5}
\\8=x$
Thus, the x-intercept is $(8, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$y=-40+5x
\\y=-40+5(0)
\\y=-40+0
\\y=-40$
Thus, the y-intercept is $(0, -40)$.
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.