The center of the ellipse is
.
The length of the major axis is
.
The value of
is
.
length of latus rectum is
.
The length of latus rectum is
.

Substitute
in above equation.

Here the ellipse is oriented horizontally.
\Standard form of the equation of ellipse is
.
Substitute
,
and
in the above formula.

The equation of a horizontal ellipse is
.
The equation of a horizontal ellipse is
.