Answer
x-intercept: $20$
y-intercept: $-8$
Work Step by Step
RECALL:
(1) A point where the graph touches or crosses the x-axis is called an x-intercept. Given an equation, the x-intercept/s can be found by setting $y=0$ then solving for $x$.
(2) A point where the graph touches or crosses the y-axis is called a y-intercept.
Given an equation, the y-intercept/s can be found by setting $x=0$ then solving for $y$.
Solve for the x-intercept/s by setting $y=0$ then solving for $x$:
$\begin{array}{ccc}
&2x-5y &= &40
\\&2x-5(0) &= &40
\\&2x &= &40
\\&\dfrac{2x}{2} &= &\dfrac{40}{2}
\\&x &= &20
\end{array}$
The x-intercept is $20$.
Solve for the y-intercept/s by setting $x=0$ then solving for $y$:
$\begin{array}{ccc}
&2x-5y &= &40
\\&2(0)-5y &= &40
\\&-5y &= &40
\\&\dfrac{-5y}{-5} &= &\dfrac{40}{-5}
\\&y &= &-8
\end{array}$
The y-intercept is $-8$.
