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