Observe the graph: The ellipse is horizontal.
\Standard form of horizontal ellipse
.
Where 
is length of semi major axis and
is length of semi minor axis.
Center is
.
Center of the ellipse is
.
Find the value of
.
is the distance between center and vertex of the ellipse.
From the graph: One of the vertex is
.
Find the distance between
and
.

.
Find the value of
.
is the distance between center and co-vertex point.
From the graph: One of the co-vertex is
.
Find the distance between
and
.


Substitute the values of
,
and
in
.

.
The ellipse equation is
.