Slope Calculator
Find the slope between two points (x₁, y₁) and (x₂, y₂), the line's slope-intercept equation, its angle of inclination, and the distance between the points — with vertical and horizontal lines called out explicitly.
Input
x-coordinate of the first point.
y-coordinate of the first point.
x-coordinate of the second point.
y-coordinate of the second point.
Output
More ways to use this tool
REST API
curl -X POST https://api.iotools.cloud/v1/tool/slope-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"x1": "2",
"y1": "3",
"x2": "6",
"y2": "11"
}'Swap in your own key from your account. The tool's fields are the body — no wrapper.
Ask an AI agent
Use the IOTools `slope-calculator` tool (Slope Calculator) on this input:
YOUR_INPUT_HEREPaste this at any agent connected to the IOTools MCP server, then add your input.
Embed widget
<iframe
src="https://iotools.cloud/embed/slope-calculator/"
width="100%" height="520" frameborder="0" scrolling="no" loading="lazy"
title="Slope Calculator — iotools.cloud"
sandbox="allow-scripts allow-forms allow-same-origin allow-downloads allow-popups allow-popups-to-escape-sandbox"
allow="clipboard-write"
style="width:100%;border:1px solid #e5e7eb;border-radius:12px;overflow:hidden"></iframe>
<script src="https://iotools.cloud/embed.js" async></script>Drop this into your own page — free, no key required, just a link back.
| Cost per API/MCP call | From 5 credits |
|---|---|
| Need more credits? | View pricing |
Also available with
Guides
The Slope Calculator finds the slope of the line through two points (x₁, y₁) and (x₂, y₂) — the most common "rise over run" question — along with the line's slope-intercept equation, its angle of inclination, and the straight-line distance between the two points.
It's built for students checking homework, anyone plotting a line from two known coordinates, and for a quick sanity check before feeding a slope into another calculation.
How to use it
- Enter the coordinates of Point 1 (
x₁,y₁) and Point 2 (x₂,y₂). - Read the Slope (m) result — a plain number, or "Undefined (vertical line)" / "0 (horizontal line)" for the two special cases.
- Check Line Equation, Angle of Inclination, and Distance Between Points for the rest of the picture.
- Open Step-by-Step Solution to see exactly how each value was derived.
Results update automatically as you type. For example, (2, 3) and (6, 11) gives a slope of 2, the equation y = 2x - 1, and an angle of 63.4349°.
The slope formula
Given two points, the slope is m = (y₂ − y₁) / (x₂ − x₁) — how much y changes for each unit change in x. A positive slope rises left to right; a negative slope falls.
Vertical and horizontal lines
If both points share the same x-coordinate (x₁ = x₂), the line is vertical: the run is zero, so the slope is mathematically undefined, and there's no y = mx + b form — the calculator reports x = <value> instead and an angle of inclination of 90°. If both points share the same y-coordinate (y₁ = y₂), the line is horizontal: the slope is exactly 0, the equation reduces to y = <value>, and the angle of inclination is 0°.
What is angle of inclination?
The angle of inclination is how far the line tilts from horizontal, computed as arctan(m) in degrees. It ranges from 0° (flat) up to just under 90° for a very steep line, jumping to exactly 90° for a vertical line.
FAQ
How is this different from the Slope-Intercept Form Calculator?
This tool is the plain "two points in, slope out" case. The Slope-Intercept Form Calculator goes further — it also derives the standard form and x-intercept, and can start from a slope and y-intercept directly instead of two points.
I already know one point and the slope — not two points
Use the Point-Slope Form Calculator instead, which builds a line's equation from a single point and a known slope.
Privacy
This calculator runs entirely in your browser. Your numbers are never uploaded, logged, or stored — the computation happens locally on your device.