# How do you find the x and y intercept of 2x-8y=24?

Mar 14, 2017

$\left(12 , 0\right)$
$\left(0 , - 3\right)$

#### Explanation:

To find the $x$-intercept, we set $y = 0$.
Thus,

$2 x - 8 \left(0\right) = 24$, and $2 x = 24$, so $x = 12$. The point is therefore $\left(12 , 0\right)$.

To find the $y$-intercept, we set $x = 0$.
Thus,

$2 \left(0\right) - 8 y = 24$, and $- 8 y = 24$, so $y = - 3$. The point is therefore $\left(0 , - 3\right)$.