Answer
x-intercept: $(16, 0)$
y-intercept: $(0, -10)$
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$5x-8y=80
\\5x-8(0)=80
\\5x=80
\\\frac{5x}{5}=\frac{80}{5}
\\x=16$
Thus, the x-intercept is $(16, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$5x-8y=80
\\5(0)-8y=80
\\-8y=80
\\\frac{-8x}{-8}=\frac{80}{-8}
\\y=-10$
Thus, the y-intercept is $(0, -10)$.
