Slope measures the steepness and direction of a line. It is the ratio of the vertical change (rise) to the horizontal change (run) between two points.

What does a negative slope mean?

A negative slope means the line goes downward from left to right. A positive slope goes upward, zero slope is horizontal, and undefined slope is vertical.

Free Slope Calculator

Calculate the slope of a line given two points (x1, y1) and (x2, y2). Also shows the y-intercept and line equation.

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x₁

y₁

x₂

y₂

Slope

2.000000

Y Intercept0.000000

Distance6.708204

Angle Deg63.43 degrees

View formula & how it works →

How to Calculate Slope

Formula

m = (y₂ - y₁) / (x₂ - x₁)

The slope represents the rate of change — how much y changes for each unit increase in x.

Line Equation

Once you have the slope (m) and y-intercept (b), the line equation is: y = mx + b

Where b = y₁ - m × x₁

Example Calculation

Find the slope of the line through points (1, 2) and (4, 8).

01Slope = (8 - 2) / (4 - 1) = 6 / 3 = 2
02Y-intercept: b = 2 - 2 × 1 = 0
03Line equation: y = 2x
04Distance = √((4-1)² + (8-2)²) = √(9 + 36) = √45 ≈ 6.7082

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