Slope Between Two Points
Slope Between Two Points
\[m = \frac{y_2-y_1}{x_2-x_1}\]
Variables
m = slope
x1 = x-coordinate of first point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
y2 = y-coordinate of second point
Description
What is this formula?
This formula calculates the slope of a line between two points in a Cartesian coordinate system.
When to use it
Use this formula in geometry, algebra, engineering, physics, and graph analysis whenever the inclination or rate of change between two points is needed.
Example
For points (2,1) and (6,5):
m = (5-1)/(6-2)
m = 4/4
m = 1
Applications
- Linear equations
- Coordinate geometry
- Graph analysis
- Engineering calculations
- Physics and motion analysis
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