[tex]\bf \cfrac{7x+1}{2x-9}\qquad
\begin{cases}
7x^1\impliedby \textit{has a degree of 1}\\
2x^1\impliedby \textit{also had degree of 1}
\end{cases}
\\\\\\
\textit{horizontal asymptote occurs at }y = \cfrac{7}{2}[/tex]
if the degree of the numerator is the same degree as that of the denominator, then the horizontal asymptote is the rational from the leading term's coefficient.