Answer
The $x$-intercept is $6$.
The y-intercept is $-6$.
Refer to the graph below.
Work Step by Step
In order to find the $x$-intercept, we have to plug $y=0$ into the equation, and the $x$-coordinate will give us the intercept itself.
$y=x-6$
$0=x-6$
$x=6$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$y=x-6$
$y=0-6$
$y=-6$
The $x$-intercept is $6$ The $y$-intercept is $-6$
Few other points that will help us plot the graph:
If $x=5$
$y=5-6=-1$
The point $(5,-1)$ is on the graph.
If $x=7$
$y=7-6=1$
The point $(7,1)$ is on the graph.
If $x=8$
$y=8-6=2$
The point $(8,2)$ is on the graph.
