$\"\"$

The equation is $\"\"$ .

Isolate and group like terms.

$\"\"$

Change the terms in above expression into a perfect squares.

$\"\"$ and $\"\"$ to each side of the equation.

$\"\"$

Divide on each side by $\"\"$ .

$\"\"$

The standard form of equation is $\"\"$ .

The related conic is an ellipse since $\"\"$ and the equation is of the form $\"\"$ .

The graph is an ellipse with center $\"\"$ .

$\"\"$

The standard form of equation is $\"\"$ .

The graph is an ellipse with center $\"\"$ .