Answer
See the graph
Work Step by Step
Given: $\frac{1}{x-5}$
$x-5=0$
$x=5$
The vertical asymptote is the line $x=5$
The horizontal asymptote is the line $y=0$
Make a list of values: $x=-5 \rightarrow y=-\frac{1}{10}$
$x=0 \rightarrow y=-\frac{1}{5}$
$x=5\rightarrow y=0$
$x=10 \rightarrow y=\frac{1}{2}$