# How do you write an equation of an ellipse in standard form given foci at (- 6, 5) and (- 6, - 7) and whose major axis has length 26?

##### 1 Answer

Nov 2, 2017

The equation is

#### Explanation:

The major axis is vertical

The foci are

Therefore,

The center of the ellipse is

Also,

Therefore,

The equation of the ellipse is

graph{((y+1)^2/169+(x+6)^2/133-1)(y-1000(x+6))=0 [-36.9, 14.42, -12.38, 13.3]}