# Python | Sympy Ellipse.equation() method

In sympy, the function `Ellipse.equation()` is used to make the equation of the given ellipse.

```Syntax: Ellipse.equation(x='x', y='y', _slope=None)

Parameters:
x : Label for the x-axis. Default value is ‘x’.
y : Label for the y-axis. Default value is ‘y’.
_slope : The slope of the major axis. Ignored when ‘None’.

Returns: equation : sympy expression
```

Example #1:

 `# import sympy, Point and Ellipse ` `from` `sympy ``import` `Point, Ellipse ` `from` `sympy.abc ``import` `x, y ` ` `  `# using Ellipse()  ` `e1 ``=` `Ellipse(Point(``1``, ``0``), ``3``, ``2``) ` ` `  `# using equation() ` `eq1 ``=` `e1.equation(x, y); ` ` `  `print``(eq1) `

Output:

`y**2/4 + (x/3 - 1/3)**2 - 1`

Example #2:

 `# import sympy, Point and Ellipse ` `from` `sympy ``import` `Point, Ellipse ` `from` `sympy.abc ``import` `x, y ` ` `  `# using Ellipse()  ` `e2 ``=` `Ellipse(Point(``0``, ``0``), ``3``, ``2``) ` ` `  `# using equation() ` `eq2 ``=` `e2.equation(x, y); ` ` `  `print``(eq2) `

Output:

`x**2/9 + y**2/4 - 1`
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