# How do you find the intercepts of 3x-6y=24?

Nov 30, 2016

x=intercept is $\left(8 , 0\right)$ and y-intercept is $\left(0 , - 24\right)$

#### Explanation:

All along the $x$ axis, $y = 0$ and all along the $y$ axis, $x = 0$

TO find the $x$-intercept, make $y = 0$

$3 x - 6 \left(0\right) = 24$
$3 x = 24$
$x = 8 \text{ } \rightarrow$ x=intercept is $\left(8 , 0\right)$

TO find the $y$ intercept, make $x$ =0

$3 \left(0\right) - y = 24$
$- y = 24$
$y = - 24 \text{ } \rightarrow$ y-intercept is $\left(0 , - 24\right)$