Answer
$x$-intercept: $-\frac{20}{3}$
$y$-intercept: $4$
Work Step by Step
To find the $x$-intercept of an equation in standard form, we plug in $0$ for $y$, and solve for $x$.
$3x-5(0)=-20$
We multiply: $3x+0=-20$
We apply the identity property of addition: $3x=-20$
We divide by $3$ on both sides of the equation: $x=-\frac{20}{3}$
To find the $y$-intercept of an equation in standard form, we plug in $0$ for $x$, and solve for $y$.
$3(0)-5y=-20$
We multiply: $0-5y=-20$
We apply the identity property of addition: $-5y=-20$
We divide by $-5$ on both sides of the equation: $y=\frac{-20}{-5}$
We simplify: $y=4$