# How do you find the x and y intercepts for x - 2y = 8?

Dec 4, 2015

To find the x-intercept set $y = 0$ in the equation and solve for $x$.

To find the y-intercept set $x = 0$ in the equation and solve for $y$

#### Explanation:

Using the given equation $x - 2 y = 8$ as an example:

Setting $\textcolor{red}{y = 0}$
$\textcolor{w h i t e}{\text{XXX}} x - 2 \times \textcolor{red}{0} = 8$
$\textcolor{w h i t e}{\text{XXX}} x = 8$
The x-intercept is $8$

Setting $\textcolor{b l u e}{x = 0}$
$\textcolor{w h i t e}{\text{XXX}} \textcolor{b l u e}{0} - 2 y = 8$
$\textcolor{w h i t e}{\text{XXX}} - 2 y = 8$
$\textcolor{w h i t e}{\text{XXX}} y = - 4$
The y-intercept is $\left(- 4\right)$