Answer
x-intercept: $(45, 0)$
y-intercept: $(0, -9)$
Refer to the graph below.
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$y=0.2x-9
\\0=0.2x-9
\\9=0.2x
\\\frac{9}{0.2}=\frac{0.2x}{0.2}
\\45=x$
Thus, the x-intercept is $(45, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$y=0.2x-9
\\y=0.2(0)-9
\\y=0-9
\\y=-9$
Thus, the y-intercept is $(0, -9)$.
Use a graphing utility to graph the equation and verify the intercepts.
(Refer to the attached image below for the graph.)
