How do you find the asymptote of a hyperbola?

The asymptote of a hyperbola is found through the equation y = +/- (b/a)(x - h) + k, when the value of "a" is based on changes in the "x" value. When "a" is based on the "y" value, the formula is y = +/- (a/b)(x - h) + k.

In the above formulas, "h" is the value of "x" at the center of the hyperbola, while "k" is the value for "y" at the center of the hyperbola. The value of "a" is the distance from the vertex of the hyperbola to its center. The value for "b" is the height of the fundamental box defined by the hyperbola.