Answer
x-intercept: $(0.04, 0)$
y-intercept: $(0, -0,05)$
Refer to the graph below.
Work Step by Step
Find the x-intercept by setting y=0 then solving for x:
$25x−20y=1
\\25x−20(0)=1
\\25x=1
\\\dfrac{25x}{25}=\dfrac{1}{25}
\\x=0.04$
Thus, the x-intercept is $(0.04, 0)$.
Find the y-intercept by setting x=0 then solving for y:
$25x−20y=1
\\25(0)−20y=1
\\−20y=1
\\\dfrac{−20y}{−20}=\dfrac{1}{−20}
\\y=−0.05$
Thus, the y−intercept is $(0, -0.05)$.
Use a graphing utility to graph the equation and verify the intercepts.
Since the intercepts involve $0.04$ and $-0.05$, set the scale to $0.05$. This can be done in the calculator by going to the WINDOW menu and setting Xscl to 0.05 and Yscl to 0.05.
(Refer to the attached image above for the graph.)
