# What is the equation of an ellipse ?

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Find the equation of an ellipse that passes through the points (2,3) and (1,-4)

Find the equation of an ellipse that passes through the points (2,3) and (1,-4)

##### 1 Answer

Dec 24, 2016

#### Explanation:

Excluding rotations, there are two general Cartesian forms for the equation of an ellipse:

and:

let k = -4, h = 2, and use equation [2}:

Use the point

Use the point

The equation is: