Slope Calculator
Slope, distance, midpoint and angle between two points.
Quick answer
- Formula: Slope m = (y₂ − y₁) ÷ (x₂ − x₁); Distance = √((x₂−x₁)² + (y₂−y₁)²)
- Worked example — Slope (m): 1.3333 (full example below).
Slope Calculator
| 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
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
Sources & methodology
This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.
Content last reviewed by CalcHub Editorial.
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