Determinant Form of a Straight Line

Rarely Tested

Determinant Form of a Straight Line

## Formula

For a line passing through $$(x_1,y_1)$$ and $$(x_2,y_2)$$:

$$\begin{vmatrix}x&y&1\\x_1&y_1&1\\x_2&y_2&1\end{vmatrix}=0$$

## Usage

- Used to write the equation of a line through two points directly in determinant form.

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