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Slope and Line Equation Calculator

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Derive a nonvertical line from two points.

Your inputs

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Your result

MATH

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Next steps

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On this page How it works & practical examples

How to use the Slope and Line Equation Calculator

Derive a nonvertical line from two points. Unlike interpolation, no target point is required; the primary result describes the line’s slope.

The calculation

Slope = (y2−y1)/(x2−x1); intercept = y1−slope×x1

Worked example

(1,2) and (3,6) give slope 2 and intercept 0, or y=2x.

Assumptions and limits

Vertical lines have undefined finite slope and are reported as an input limitation. Identical points cannot identify a unique line.

Common questions

Which inputs should I use?

Derive a nonvertical line from two points. Unlike interpolation, no target point is required; the primary result describes the line’s slope.

What does the result exclude?

Vertical lines have undefined finite slope and are reported as an input limitation. Identical points cannot identify a unique line.

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