Answer
$\text{$x$-intercept: }
5
\\\text{$y$-intercept: }
2$
Work Step by Step
Substituting $y=0,$ then
\begin{array}{l}\require{cancel}
2x+5y=10
\\\\
2x+5(0)=10
\\\\
2x+0=10
\\\\
2x=10
\\\\
x=\dfrac{10}{2}
\\\\
x=5
.\end{array}
Hence, the $x$-intercept is $
5
.$
Substituting $x=0,$ then
\begin{array}{l}\require{cancel}
2x+5y=10
\\\\
2(0)+5y=10
\\\\
0+5y=10
\\\\
5y=10
\\\\
y=\dfrac{10}{5}
\\\\
y=2
.\end{array}
Hence, the $y$-intercept is $
2
.$
The given equation has the following characetristics:
\begin{array}{l}\require{cancel}
\text{$x$-intercept: }
5
\\\text{$y$-intercept: }
2
.\end{array}
Using the intercepts, the graph is shown above.