Step 1 :
\The vertices of the ellipse are
.
Length of the minor axis is
.
Since the
- coordinate of vertices are same, the ellipse is vertical.
The standard form of the ellipse is
.
Where
is the center,
,
The center is a mid point of two vertices.
\The distance between center and vertex is
.
is the length of the major axis and
is the length of the minor axis.
Step 2 :
\The vertices of the ellipse are
.
The mid point of
is center of ellipse

The center of ellipse
.
Length of the minor axis :
.
The distance between center and vertex is
.
The length of semi minor axis is the distance between center
and
vertex.

Substitute the values of
,
, and
in
.

Solution :
\The equation of ellipse is
.