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

Nov 13, 2015

#### Answer:

y-intercept $= - 4$
x-intercept $= - 8$

#### Explanation:

Given -

$y = - \frac{1}{2} x - 4$

To find $y$ intercept put $x = 0$ in the equation

At x= 0; y = -1/2(0)-4= -4

Alternate way -

The given equation in the slope-intercept form of $y = m x + c$ Where $c$ is y-intercept.

You can straight away state $- 4$ is y-intercept

To find the $x$ intercept put $y = 0$

$- \frac{1}{2} x - 4 = y$

$- \frac{1}{2} x - 4 = 0$

$- \frac{1}{2} x = 0 + 4$
$- \frac{1}{2} x = 4$

$x = 4 \left(- \frac{2}{1}\right) = - 8$

$x = - 8$