How does the Line Equation Calculator work?

Calculate slope m = (y₂-y₁) / (x₂-x₁) Then: Find y-intercept b: substitute point into y = mx + b Then: Alternative: point-slope form y - y₁ = m(x - x₁) Then: Rearrange to slope-intercept (y = mx + b) or standard form (Ax + By = C).

Can you give an example of how to use the Line Equation Calculator?

Example: Input slope=2, point (1,3) gives a result of y=2x+1.

Is the Line Equation Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Line Equation Calculator?

Our Line Equation Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Hisabati

Line Equation Calculator

Line Equation (y=mx+b)

x₁

y₁

x₂

y₂

Finds line equation (y = mx + b) from two points or point-slope form.

Symbol	Name	Unit	Description
m	(y₂-y₁) / (x₂-x₁)	—	(y₂-y₁) / (x₂-x₁)

Difficulty:beginner

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Did You Know?

Linear equations model countless real phenomena; foundation of algebra and modeling.

References

›Line Equation Calculator

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Line Equation Calculator

Line Equation (y=mx+b)

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Line Equation (y=mx+b)