First we factor the two equations to get:
(x - 6)(x - 1) / (x - 6)(x + 6).
The (x - 6) represents a hole in the graph so those cancel out.
To find the vertical asymptote, take the remaining binomial(s) and set them equal to zero.
x + 6 = 0
x = - 6
There is a vertical asymptote at x = - 6.
