Answer
x-intercept: $(5, 0)$
y-intercept: $(0, -2)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$2x-5y=10
\\2x-5(0)=10
\\2x-0=10
\\2x=10
\\\frac{2x}{2}=\frac{10}{2}
\\x=5$
Thus, the x-intercept is $(5, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$2x-5y=10
\\2(0)-5y=10
\\0-5y=10
\\-5y=10
\\\frac{-5y}{-5}=\frac{10}{-5}
\\y=-2$
Thus, the y-intercept is $(0, -2)$.
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.
