Answer
$\text{x-intercept}=8$
$\text{y-intercept}=4$
Work Step by Step
$3x+6y=24$
To find the x-intercept, we substitute $0$ for $y$ and then solve for $x$
$3x+6(0)=24$
$\implies 3x=24$
$\implies x=\frac{24}{3}=8$
To find the y-intercept, we substitute $0$ for $x$ and then solve for $y$.
$3(0)+6y=24$
$\implies 6y=24$ or $y=\frac{24}{6}=4$