Answer
x-intercept: $(0.5, 0)$
y-intercept: $(0, 0.25)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$2x+4y=1
\\2x+4(0)=1
\\2x+0=1
\\2x=1
\\\frac{2x}{2}=\frac{1}{2}
\\x=0.5$
Thus, the x-intercept is $(0.5, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$2x+4y=1
\\2(0)+4y=1
\\0+4y=1
\\4y=1
\\\frac{4y}{4}=\frac{1}{4}
\\y=0.25$
Thus, the y-intercept is $(0, 0.25)$.
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.
