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Slope Calculator

Calculate the slope of a line between two points instantly. Use our free Slope Calculator to determine slope, rise, run, and line characteristics in coordinate geometry.

Slope Calculator

Calculate the slope between two points instantly. Find rise, run, line direction, and understand the steepness of a line using the slope formula.

Point A

Point B

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Slope Formula

m = (y₂ - y₁) / (x₂ - x₁)

The slope measures the steepness and direction of a line. It is calculated by dividing the change in y-values (rise) by the change in x-values (run).

Example Calculation

Input: Point A (2, 3), Point B (6, 11)

Output: m = (11 - 3) / (6 - 2) = 8 / 4 = 2

Common Uses

  • • Coordinate Geometry
  • • Algebra
  • • Mathematics
  • • Graph Analysis
  • • Engineering
  • • Physics
  • • Education
  • • Linear Equations

How the Slope Calculator Works

1

Enter First Point

Input the x and y coordinates of the first point.

2

Enter Second Point

Input the x and y coordinates of the second point.

3

Calculate Slope

Apply the slope formula using the rise and run between points.

4

View Results

See slope value, rise, run, and line direction instantly.

Questions about this calculator

Slope measures the steepness and direction of a line. It represents how much the y-value changes for every unit change in the x-value.

Slope is calculated by dividing the difference in y-coordinates by the difference in x-coordinates between two points.

A positive slope means the line rises from left to right.

A negative slope means the line falls from left to right.

A slope is undefined when the x-coordinates are equal, creating a vertical line.

The slopes of two perpendicular non-vertical lines are negative reciprocals of each other (m₁ · m₂ = -1), meaning one slope is the inverted negative value of the other.

Find the slope between two points

Enter the coordinates of two distinct points. The calculator reports the rise, run, slope, and line type. Coordinates may be positive, negative, or decimal values.

Slope formula

Slope m = (y₂ - y₁) / (x₂ - x₁), often described as rise over run. For points (2, 3) and (6, 11), the rise is 8 and the run is 4, so m = 8 ÷ 4 = 2.

Reading the answer

  • A positive slope rises from left to right.
  • A negative slope falls from left to right.
  • A zero slope describes a horizontal line.
  • If both x-coordinates are equal, the run is zero and the vertical line's slope is undefined.

Common input mistake

Subtract coordinates in the same order in both parts of the formula. Switching the order for only x or only y changes the sign incorrectly. If the two entered points are identical, both rise and run are zero and they do not determine a unique line.

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