The center of the hyperbola is .

One vertex .

Since the -coordinate of center and vertex are the same, the hyperbola is horizontal.

So .

Standard form of hyperbola equation is , where is center.

Vertices:.

Foci:.

Asymptotes:.

.

An equation of the asymptote is .

.

Slope of the asymptote is .

Slope of the asymptote is .

Substitute .

.

Substitute , in in .

.

The equation of hyperbola is .

.