# What is the x intercept and y intercept of the equation x - 2y = 8?

Jun 9, 2017

See a solution process below:

#### Explanation:

To find the $x$-intercept, substitute $0$ for $y$ and solve for $x$:

$x - 2 y = 8$ becomes:

$x - \left(2 \cdot 0\right) = 8$

$x - 0 = 8$

$x = 8$

The $x$-intercept is $8$ or $\left(8 , 0\right)$

To find the $y$-intercept, substitute $0$ for $x$ and solve for $y$:

$x - 2 y = 8$ becomes:

$0 - 2 y = 8$

$- 2 y = 8$

$\frac{- 2 y}{\textcolor{red}{- 2}} = \frac{8}{\textcolor{red}{- 2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} y}{\cancel{\textcolor{red}{- 2}}} = - 4$

$y = - 4$

The $y$-intercept is $- 4$ or $\left(0 , - 4\right)$