Slope Calculator

Slope, distance, midpoint and angle between two points.

Slope Calculator

Worked example result

Slope (m)	1.3333
Distance between the points	5.0000
Midpoint	(1.5, 2)
Angle to the horizontal	53.13 °

From (0, 0) to (3, 4): the slope is 4/3 ≈ 1.3333, the distance is exactly 5 (a 3-4-5 triangle), the midpoint is (1.5, 2), and the angle is about 53.13°.

The slope of a line through two points measures its steepness: rise over run, the change in y divided by the change in x. A slope of 2 climbs twice as fast as it advances; a negative slope falls as x increases.

Enter the coordinates of two points. As well as the slope you get the straight-line distance between the points, their midpoint, and the angle the line makes with the horizontal in degrees.

The formula

Slope m = (y₂ − y₁) ÷ (x₂ − x₁); Distance = √((x₂−x₁)² + (y₂−y₁)²)

Worked example

From (0, 0) to (3, 4): the slope is 4/3 ≈ 1.3333, the distance is exactly 5 (a 3-4-5 triangle), the midpoint is (1.5, 2), and the angle is about 53.13°.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

Why is the slope of a vertical line undefined?

A vertical line has run = 0, and slope divides by the run — division by zero is undefined. Its angle, however, is a clean 90°.

What does a slope of 0 mean?

A perfectly horizontal line: y does not change as x increases. In real terms, a road with gradient 0 is flat, while a gradient quoted as 10% is a slope of 0.1.

Category: Math calculators

Slope Calculator