Slope Calculator

Slope of a line from two points.

Result —

How it works

Slope m = (y₂ − y₁) ÷ (x₂ − x₁)

Slope is the steepness of a line: positive rises, negative falls, 0 is horizontal. When x₁ = x₂ the line is vertical and the slope is undefined.

FAQ

What is the slope of a vertical line?

A vertical line has an undefined slope (division by zero); it is shown as "—".

Worked example

Through (1, 2) and (4, 11): m = (11−2) ÷ (4−1) = 3.

Point-slope: y − 2 = 3(x − 1), i.e. y = 3x − 1.

Notes and limitations

A zero denominator means a vertical line with undefined slope (not zero); horizontal lines have slope 0. Equal slopes mean parallel; a product of −1 means perpendicular.

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