# How do you find the x and y intercept given -x=-y-6?

Oct 27, 2015

$x$ intercept$= 6$
$y$ intercept=$- 6$

#### Explanation:

We want the function to be in $y = m x + b$ form, so we do this by adding $x$ and $y$ on both sides to get

$y = x - 6$.

To find $x$ intercept , we make $y = 0$.

$0 = x - 6$

Add $6$ on both sides

We get $x = 6$.

To find $y$ intercept , make $x = 0$,

$y = 0 - 6$

And we get $y = - 6$

$x$ int = $6$
$y$ int = $- 6$

Here is the graph, look at where the line intercepts in the $x$ and $y$ axis.
graph{y=x-6 [-10, 10, -5, 5]}