# How to find the x and y-intercept given y= -1/2x - 4?

May 3, 2015

The y-intercept is the value of $y$ at the point when the graph of the function crosses the y-axis; along the y-axis the value of $x$ is $x = 0$
So $y = - \frac{1}{2} x - 4$
becomes $y = - \frac{1}{2} \left(0\right) - 4 = - 4$
The y-intercept is $\left(- 4\right)$

Conversely the x-intercept occurs when $y = 0$
$y = - \frac{1}{2} x - 4$
becomes
$0 = - \frac{1}{2} x - 4$
$\frac{1}{2} x = - 4$
$x = - 8$
The x-intercept is $\left(- 8\right)$