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Line through Two Points

Calculate the coefficients of Ax + By + C = 0, including vertical lines.

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Local calculations. Results are estimates, not professional advice.

A

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Use consistent units. The result follows the assumptions you enter.

Formula

A = y₁ − y₂; B = x₂ − x₁; C = x₁y₂ − x₂y₁; Ax + By + C = 0

Calculate the coefficients of Ax + By + C = 0, including vertical lines.

Worked example

First x
0
First y
0
Second x
6
Second y
8
A
-8
B
6
C
0

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 63cedd786c8e · Example checked:

Methodology

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