Answer
$\text{$x$-intercept: }
7
\\\text{$y$-intercept: }
7$
Work Step by Step
Substituting $y=0,$ then
\begin{array}{l}\require{cancel}
y=-x+7
\\\\
0=-x+7
\\\\
x=7
.\end{array}
Hence, the $x$-intercept is $
7
.$
Substituting $x=0,$ then
\begin{array}{l}\require{cancel}
y=-x+7
\\\\
y=-(0)+7
\\\\
y=7
.\end{array}
Hence, the $y$-intercept is $
7
.$
The given equation has the following characteristics:
\begin{array}{l}\require{cancel}
\text{$x$-intercept: }
7
\\\text{$y$-intercept: }
7
.\end{array}
Using the intercepts, the graph is shown above.