What is the equation of the horizontal asymptote of f(x) = (7x-3)/(2x+5)?

When the numerator and denominator have the same degree, the horizontal asymptote is the ratio of the leading coefficients. Here that is $\frac{7}{2}$, so $y = \frac{7}{2}$, choice A. Intuitively, for very large $x$, the constants $-3$ and $+5$ matter little, and $\frac{7x}{2x} = \frac{7}{2}$. Choice B ($y = \frac{5}{2}$) uses the constant of the denominator. Choice C ($x = -\frac{5}{2}$) is the vertical asymptote, a vertical line. Choice D ($y = -\frac{3}{5}$) is the ratio of the constant terms, which governs the $y$-intercept and not the end behavior.