Thread: Hyperbola equation help

Find equation of a hyperbola in standard form with center (-2,5), one vertex at (-2,8) and slope of one of its asymptotes is 3/5

Distance between center and the vertex is a, and equation of asymptote is y = (a/b)x.

Find a and b from the given information.

So the equation of the hyperbola is

Well, actually, no. If the center is at , the distance from the center to a vertex is a, and the equation of the asymptote is y= (b/a)x, the equation of the hyperbola is