How does the Line Equation Calculator work?

Slope m = (y₂−y₁)/(x₂−x₁) Then: y-intercept c = y − mx Then: Parallel lines have equal slopes Then: Perpendicular lines: m₁×m₂ = −1.

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

Example: Input Points (0,2) and (3,8) gives a result of m = (8−2)/(3−0) = 2, c = 2, so y = 2x + 2.

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.

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Line Equation Calculator

x₁

y₁

x₂

y₂

✓Line Equation

y = 2.0000x + 2.0000

Slope (m)

2.0000

y-intercept

2.0000

The equation of a line in slope-intercept form is y = mx + c, where m is the slope (gradient) and c is the y-intercept. It describes every straight line in 2D space.

Symbol	Name	Unit	Description
m	slope (rise/run)	—	—
b	y-intercept	—	—
(x₀, y₀)	a point on the line	—	—
A, B, C	coefficients in general form	—	—

Form	Equation	Best used when
Slope-intercept	y = mx + c	Slope and y-intercept known
Point-slope	y−y₁=m(x−x₁)	Point and slope known
Standard	ax + by = c	Integer coefficients needed
Two-point	(y−y₁)/(y₂−y₁)=(x−x₁)/(x₂−x₁)	Two points known

References

›Linear equations — Khan Academy

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Line Equation Calculator