Answer
The $x-$ intercept is $0$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow y=-x$
$\Rightarrow y=-x+0$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=0$.
Plot the $y-$ intercept $A=(0,0)$.
The slope is $m=-1$ and
Slope $m=\frac{rise}{run}=\frac{-1}{1}$
The next point is $1$ unit right and $1$ unit down from the point $(0,0)$.
Plot the point $B=(1,-1)$.
Draw a line through the two points.
From the graph the line crosses the $x-$ axis at $A=(0,0)$.
Hence, the $x-$ intercept is $0$.