Answer
The domain: $(-\infty,-4)\cup(-4,\infty)$.
The vertical asymptote: $x=-4$
The slant asymptote: $y=-\frac{1}{2}x+1$.
The line in the zoomed out graph has equation $y=-\frac{1}{2}x+1$.
Work Step by Step
Using a graphing utility, the graph of the function is as shown.
From the graph, the domain is $(-\infty,-4)\cup(-4,\infty)$.
The vertical asymptote is $x=-4$ and the slant asymptote is $y=-\frac{1}{2}x+1$.
The line in the zoomed out graph has equation $y=-\frac{1}{2}x+1$.
