Geometry and trigonometry
Slope
The rate at which a line's vertical coordinate changes relative to its horizontal coordinate.
Common notationm=(y₂−y₁)/(x₂−x₁)
In one sentence
What does Slope mean?
The rate at which a line's vertical coordinate changes relative to its horizontal coordinate.
How it is written
m=(y₂−y₁)/(x₂−x₁)
A compact example
From (1,2) to (4,8), the slope is 6/3=2.
Other names and search terms
gradient, rise over run.
Where this fits
When should you learn Slope?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolUsually introduced
- 2High schoolGreater depth
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Geometry
- Trigonometry
- Arithmetic
- Measurement
- Vectors
- Waves
- Coordinate geometry
Angles, coordinates and trigonometric waves feed directly into vectors and wave mathematics.
Open the Zero-to-QM pathClear answers
Questions about Slope
What does Slope mean in mathematics?
The rate at which a line's vertical coordinate changes relative to its horizontal coordinate.
How is Slope written?
A common notation is m=(y₂−y₁)/(x₂−x₁).
What is an example of Slope?
From (1,2) to (4,8), the slope is 6/3=2.