$\"\"$

\

Observe the graph:

\

The major axis is vertical.

\

The vertices of the ellipse are $\"\"$ and $\"\"$ . \ \

\

The co-vertices of the ellipse are $\"\"$ and $\"\"$ .

\

Since the major axis is vertical, the standard form of ellipse equation is

\

$\"\"$ .

\

The center of the ellipse is the mid point of vertices.

\

The vertices of the ellipse are $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

The distance between vertices is $\"\"$ .

\

Apply the distance between two points formula: $\"\"$ .

\

Substitute vertices $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The distance between co-vertices is $\"\"$ .

\

Substitute co-vertices $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The ellipse equation is $\"\"$ .

\

$\"\"$

\

The ellipse equation is $\"\"$ .