Hello, ahztin13!

The equation of a "horizonal" hyperbola is: .Find an equation of the hyperbola having foci at

and asymptotes

The center of a hyperbola is the midpoint between the foci.

. . Hence: .

The slopes of the asymptotes is given by: .

. . Hence: .

We know that

. . So we have: .

Therefore, the equation is: .