Slope Calculator

Slope, intercept, distance and midpoint from two points

Quick Answer

Slope Calculator: Slope, intercept, distance and midpoint from two points. Slope m = (y₂ − y₁)/(x₂ − x₁) · intercept b = y₁ − m·x₁.

x₁

y₁

x₂

y₂

Slope m

y = 3x − 1 · angle 71.6°

Δx2

Δy6

Distance6.325

Grade300.0% very steep

Parallel slope

Perpendicular slope

-0.333

Steps

1Δx = x₂ − x₁ = 3 − 1 = 2；Δy = y₂ − y₁ = 8 − 2 = 6
2m = Δy ÷ Δx = 6 ÷ 2 = 3
3Intercept: b = y₁ − m·x₁ = 2 − 3×1 = -1
4Angle = arctan(m) = 71.57°
5d = √(Δx² + Δy²) = 6.325

Slope quick reference

m	Angle	Meaning
0	0°	Horizontal line
1/3	18.4°	Gentle rise (wheelchair ramp ≤ 1/12)
1	45°	45° diagonal
√3 ≈ 1.73	60°	Steep
undefined	90°	Vertical line

💡 Slope = rise/run = Δy/Δx. Positive rises left→right, negative falls. Grade % = slope × 100 — a 10% road grade rises 10m per 100m horizontal. Perpendicular slopes are negative reciprocals (m₁·m₂ = −1).

Was this tool helpful?

How to Use

Enter values or expressions: type directly into the Slope Calculator — keyboard friendly.
Instant results: everything computes live as you type, no button needed.
Follow the steps: the result panel shows full working and formula substitution.
Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

Slope Calculator is a free online math tool — open and use, no sign-up.
All calculations run locally in your browser; your data never leaves the device.
Key capability: Slope, intercept, distance and midpoint from two points.
Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Line through two points

Slope m = (y₂ − y₁)/(x₂ − x₁) · intercept b = y₁ − m·x₁

Distance = √[(x₂−x₁)² + (y₂−y₁)²] · midpoint = average of coordinates

Vertical line (x₁ = x₂): slope undefined; horizontal: m = 0

FAQ

How do I use the Slope Calculator?

Open the page and fill in the input fields — results update automatically. Slope, intercept, distance and midpoint from two points.

Are the results accurate?

Yes. All calculations use standard mathematical formulas and are verified for accuracy.

Is it free? Do I need to sign up?

Completely free. No registration, login or download required — just open and use.

Does it work on mobile?

Yes. The responsive design works on phones, tablets and desktops.

Is my data saved?

No. All calculations run locally in your browser. Nothing is uploaded or stored.

Related Guides

Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated: 2026-08-04

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Cite this page: YiJianSuan. Slope Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/slope

Results provided by this tool are for reference only and do not constitute professional advice.