Answer
x-intercept: $(0.02, 0)$
y-intercept: $(0, 0.04)$
Refer to the graph below
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$50x+25y=1
\\50x+25(0)=1
\\50x=1
\\\frac{50x}{50}=\frac{1}{50}
\\x=0.02$
Thus, the x-intercept is $(0.02, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$50x+25y=1
\\50(0)+25y=1
\\25y=1
\\\frac{25y}{25}=\frac{1}{25}
\\y=0.04$
Thus, the y-intercept is $(0, 0.04)$.
Use a graphing utility to graph the equation and verify the intercepts.
(Refer to the attached image below for the graph.)
