Step 1:

The equation of ellipse is $\"\"$ .

Re-write the equation.

$\"\"$

Divide each side by 9.

$\"\"$

The standard form of ellipse equation is $\"\"$ ,

Where center $\"\"$ , $\"\"$ id the length of semi-major axis and $\"\"$ is length of semi-minor axis.

Compare the equation with standard form of ellipse

Center $\"\"$ .

Major axis is $\"\"$ .

Minor axis is $\"\"$ .

Step 2:

Find eccentricity.

For ellipse: $\"\"$ .

$\"\"$

Eccentricity $\"\"$ .

$\"\"$ .

Solution :

Eccentricity of the ellipse is $\"\"$ .