# What are the x-intercept and the y-intercept of the graph of y=-1/2x-5?

Dec 15, 2016

The y-intercept is $- 5$ or $\left(0 , - 5\right)$

The x-intercept is $- 10$ or $\left(- 10 , 0\right)$

#### Explanation:

Because this equation is in slope-intercept form:

$y = m x + c$ where $m$ is the slope and $c$ is the y-intercept of $\left(0 , c\right)$.

So for this problem the y-intercept is $- 5$ or $\left(0 , - 5\right)$

To find the x-intercept we need to set $y$ to $0$ and solve for $x$:

$0 = - \frac{1}{2} x - 5$

$0 + 5 = - \frac{1}{2} x - 5 + 5$

$5 = - \frac{1}{2} x - 0$

$5 = - \frac{1}{2} x$

$5 \times - 2 = - \frac{1}{2} x \times - 2$

$- 10 = \frac{- 2}{- 2} x$

$- 10 = 1 x$

$- 10 = x$