QuestionThe function $f$ is given by $f(x)=\frac{2^{2}-5 x+3}{x+2}$. In the $x y$ plane, the graph of $f$ has a slant asymptote which of the following is an equation for the slant asymptote?

Studdy Solution
The quotient from the division is $-5$, which represents the slant asymptote. Therefore, the equation of the slant asymptote is:
$$y = -5$$
The equation for the slant asymptote is $\boxed{y = -5}$.