Answer
x-intercept: $(4, 0)$
y-intercept: $(0, -8)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$2x-y=8
\\2x-0=8
\\2x=8
\\\frac{2x}{2}=\frac{8}{4}
\\x=4$
Thus, the x-intercept is $(4, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$2x-y=8
\\2(0)-y=8
\\-y=8
\\-y(-1)=8(-1)
\\y=-8$
Thus, the y-intercept is $(0, -8)$.
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.