Answer
The vertical asymptote is the line $x=3$.
The horizontal asymptote is the line $y=-5$.
Work Step by Step
Given: $\frac{-1}{x-3}-5$
$x-3=0$
$x=3$
The vertical asymptote is the line $x=3$.
The horizontal asymptote is the line $y=-5$.
Make a list of values:
$x=-3 \rightarrow y=\frac{1}{6}$
$x=0 \rightarrow y=-\frac{14}{3}$
$x=1\rightarrow y=-\frac{9}{2}$
$x=3\rightarrow y=-5$
