#### Answer

The vertical asymptote is the line $x=2$.

#### Work Step by Step

Given: $\frac{8}{x-2}+3$
$x-2=0$
$x=2$
The vertical asymptote is the line $x=2$.
Make a list of values:
$x=-2 \rightarrow y=1$
$x=0 \rightarrow y=-1$
$x=4 \rightarrow y=7$
$x=10 \rightarrow y=4$