# How do you find the intercepts for x + 2y = 10?

Jun 12, 2015

To find the x intercept set $y = 0$ in your equation then solve for $x$.
To find the y intercept set $x = 0$ in your equation then solve for $y$.

#### Explanation:

Given $x + 2 y = 10$

x-intercept
set $y = 0$
$\textcolor{w h i t e}{\text{XXXX}}$$x + 2 \left(0\right) = 10$
$\textcolor{w h i t e}{\text{XXXX}}$$x = 10$

y-intercept
set $x = 0$
$\textcolor{w h i t e}{\text{XXXX}}$$\left(0\right) + 2 y = 10$
$\textcolor{w h i t e}{\text{XXXX}}$$y = 5$

The x intercept is 10.
The y intercept is 5.