What is the horizontal asymptote for y=(x^2-x-6)/(x+4)?

This function has an oblique asymptote $y = x - 5$, a vertical asymptote $x = - 4$ and no horizontal asymptote.
$y = \frac{{x}^{2} - x - 6}{x + 4} = \frac{{x}^{2} + 4 x - 5 x - 20 + 14}{x + 4} = x - 5 + \frac{14}{x + 4}$
As $x \to \pm \infty$, $\frac{14}{x + 4} \to 0$
So this function has an oblique asymptote $y = x - 5$, a vertical asymptote $x = - 4$ and no horizontal asymptote.