📈 Slope Calculator
Enter two points (x₁, y₁) and (x₂, y₂) to get everything about the line through them.
Slope
How the Slope Calculator works
Slope is rise over run. The y-intercept comes from plugging one point into y = mx + b. Distance uses the Pythagorean theorem.
m = (y₂ − y₁) ÷ (x₂ − x₁)
b = y₁ − m × x₁
Distance = √((x₂ − x₁)² + (y₂ − y₁)²)
Midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
Step-by-step calculation
- 1Enter two points.
- 2Slope = rise ÷ run.
- 3Find the intercept, distance and midpoint.
Worked example
Points (1, 2) and (4, 8): slope = 6 ÷ 3 = 2, line y = 2x, distance = √45 ≈ 6.708, midpoint (2.5, 5).
Slope Calculator examples
| x₁ | Slope |
|---|---|
| 1 | m = 2 |
| 2 | m = 3 |
| 5 | m = -6 |
| 10 | m = -1 |
| 100 | m = -0.0625 |
Other inputs kept at the calculator's default values. Results calculated by this calculator.
Why use a Slope Calculator?
Find line equations for algebra and graphing.
Important factors that can affect your results
- Vertical lines have undefined slope.
- Order of points.
- Rounding.
Frequently asked questions
What if x₁ = x₂?
The line is vertical and the slope is undefined; its equation is x = x₁.
What does a negative slope mean?
The line goes down from left to right.
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Last reviewed November 2026 · How we build and check our tools · Report a problem