# Nine-Point Cubic

Initializing live version

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.

[more]
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

.

## Permanent Citation