### Home > AC > Chapter 16 > Lesson 16.9.1.2 > Problem9-24

9-24.

If $y=\large{\frac{ax+b}{2x+c}}$ has a vertical asymptote at $x=−3$ and a horizontal asymptote at $y=5$, what are the values of $a$ and $c$?

A vertical asymptote occurs due to division by zero.

$2(-3) + c = 0$

A horizontal asymptote of $5$ means that polynomial division results in a whole number term of $5$. Therefore:

$\frac{a}{2} = 5$