The center of the hyperbola is
.
One vertex
.
Since the
-coordinate of center and vertex are the same, the hyperbola is vertical.
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
.
.