# How do you find the x and y intercepts for y=1/2x-4?

Jun 7, 2016

y-intercept: $\left(- 4\right)$
x-intercept: $8$

#### Explanation:

The y-intercept is the value of $y$ when $x = 0$
Given
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{2} x - 4$
when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{2} \left(0\right) - 4 = - 4$

The x-intercept is the value of $x$ when $y = 0$
Given
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{2} x - 4$
when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 0 = \frac{1}{2} x - 4$

$\textcolor{w h i t e}{\text{XXX}} 4 = \frac{1}{2} x$

$\textcolor{w h i t e}{\text{XXX}} x = 8$