# Nine-Point Cubic

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This Demonstration plots a cubic equation of the form in the Cartesian plane to pass through any nine points , . These cubic equations are often called elliptic curves. In this Demonstration, drag the points to see some of the many possible behaviors for a cubic equation.

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Contributed by: Ed Pegg Jr (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The equation of the cubic through the nine points can be computed with the determinant

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## Permanent Citation