What is the equation of the vertical asymptote of f(x) = (5x-2)/(x+6)?

A rational function has a vertical asymptote where the denominator is zero and the numerator is not. Set $x + 6 = 0$ to get $x = -6$. The numerator there is $5(-6) - 2 = -32$, which is nonzero, so $x = -6$ is a vertical asymptote, choice A. Choice B ($x = 6$) has the wrong sign. Choice C ($x = 5$) uses the leading coefficient of the numerator, which is unrelated to vertical asymptotes. Choice D ($y = 5$) is the horizontal asymptote, the ratio of leading coefficients $\frac{5}{1}$, not a vertical one.