Answer
The $x-$ intercept is $7$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow y=-x+7$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=7$.
Plot the $y-$ intercept $A=(0,7)$.
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 $(0,7)$.
Plot the point $B=(1,6)$.
Draw a line through the two points.
From the graph the line crosses the $x-$ axis at $C=(7,0)$.
Hence, the $x-$ intercept is $7$.
