# How do you write an equation of an ellipse given endpoints of major axis at (-11,5) and (7,5) and endpoints of the minor axis at (-2,9) and (-2,1)?

##### 1 Answer

Please see the explanation for steps leading to the equation.

#### Explanation:

The endpoints,

This allows us to write the following equations:

The endpoints,

This allows us to write the following equations:

Subtracting equation [2] from [3] gives us:

Subtracting equation [5] from [6] gives us:

All that remains, is to substitute these values into the general form for an ellipse with a horizontal major axis: