The vertex of the hyperbola is
.
The
-coordinate of the vertex are equal, hence the hyperbola is horizontal.
The vertices of the horizontal hyperbola are
.
The value of
.
The asymptote of the horizontal hyperbola is
.
Asymptote of the hyperbola is
.
Therefore,
.

The equation of the hyperbola is
.

.
The equation of the hyperbola is
.