Find the slant asymptote, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x ^ { 2 } - 5 x + 4 } { x + 8 }$$
A) $y = x - 13$
B) $\mathrm { y } = \mathrm { x } + 9$
C) $x = y + 5$
D) no slant asymptote

Question

Quizplus · Accepted Answer

To find the slant (oblique) asymptote of the given rational function, we divide the numerator by the denominator. The division $ \frac { x ^ { 2 } - 5 x + 4 } { x + 8 }$ results in a quotient of $x - 13$ with a remainder. The quotient $x - 13$ represents the equation of the slant asymptote, which is $y = x - 13$.

Find the Slant Asymptote, If Any, of the Graph of the Rational