Free Slope Calculator - Find Slope From Two Points
Calculate slope, line equation, and more from two points. Best free slope calculator 2025 - rise over run made easy.
Quick Answer
Slope is the ratio of vertical change (rise) to horizontal change (run): m = (y₂ - y₁) / (x₂ - x₁). For points (1, 2) and (4, 8): m = (8-2)/(4-1) = 6/3 = 2. Positive slope rises left to right; negative falls. Calculate at practicalwebtools.com.
Key Facts about Slope Calculator:
- Slope formula: m = (y₂ - y₁) / (x₂ - x₁) = rise/run
- Positive slope: line rises left to right
- Negative slope: line falls left to right
- Zero slope: horizontal line
- Undefined slope: vertical line
- Parallel lines have equal slopes
- Perpendicular lines have slopes that multiply to -1
Why Use Our Slope Calculator?
Complete slope analysis:
Calculate Slope
Find m from two points.
Line Equation
Get y = mx + b form.
Rise and Run
See the components.
Angle
Find angle with horizontal.
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How to Slope Calculator in 3 Easy Steps
Calculate slope:
Enter Points
Two points (x₁, y₁) and (x₂, y₂).
Calculate
Find rise over run.
See Results
View slope and equation.
Master Linear Equations
Find slope from any two points
Get line equation automatically
Understand rise over run
Essential for algebra
Common Use Cases for Slope Calculator
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Frequently Asked Questions
Everything you need to know about our slope calculator
How do I calculate slope?
m = (y₂ - y₁) / (x₂ - x₁). (2,3) to (5,9): m = 6/3 = 2.
Slope m = (y₂ - y₁) / (x₂ - x₁). Subtract y-coordinates and divide by difference in x-coordinates. Points (2,3) and (5,9): m = (9-3)/(5-2) = 6/3 = 2.
What does slope mean?
Steepness and direction - how much y changes per unit x.
Slope measures steepness and direction. It tells you how much y changes for each unit change in x. Slope of 2 means y increases by 2 for every 1 increase in x.
What if two points have the same x?
Undefined slope - vertical line.
If x₁ = x₂, the line is vertical and slope is undefined (division by zero). Vertical lines have no slope value.
How do parallel and perpendicular slopes relate?
Parallel: equal slopes. Perpendicular: m₁ × m₂ = -1.
Parallel lines have equal slopes. Perpendicular lines have slopes that multiply to -1 (negative reciprocals). If one slope is 2, perpendicular is -1/2.
Still have questions? Try the tool yourself!
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