Answer
Refer to the graph below.
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$2x-5y=10
\\2x-5(0)=10
\\2x=10
\\\frac{2x}{2}=\frac{10}{2}
\\x=5$
Thus, the x-intercept is $(5, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$2x-5y=10
\\2(0)-5y=10
\\-5y=10
\\\frac{-5y}{-5}=\frac{10}{-5}
\\y=-2$
Thus, the y-intercept is $(0, -2)$.
Plot the intercepts then connect them using a line.
(Refer to the graph in the answer part above.)