The vertical major axis passes through the points
and
.
Standard form of equation for an ellipse with vertical major axis and center at the
\origin
, where
is the center of the ellipse.
Substitute the point
in
.

Substitute the point
in
.

Substitute the values
and
in
.
.
The standard form of the equation of the ellipse is
.
The standard form of the equation of the ellipse is
.