Answer
The domain: $(-\infty,-2)\cup(-2,\infty)$
The vertical asymptote: $x-2$
The slant asymptote: $y=x$.
Work Step by Step
Using a graphing utility, the graph of the function is as shown.
From the graph, the domain is $(-\infty,-2)\cup(-2,\infty)$.
The vertical asymptote is $x-2$ and the slant asymptote is $y=x$.
The line in the zoomed out graph has equation $y=x$.