# How do you write an equation of an ellipse in standard form given Vertices: (-9,18), (-9,2), Foci (-9,14), (-9,2)?

##### 1 Answer

Jan 28, 2017

The foci are

The equation is

#### Explanation:

Use the given vertices to write 3 equations:

To find the value of k, add equations [3] and [4]:

To find the value of a, substitute 10 for k into equation [4]:

Use

Substitute,