Formula library

Slope Between Two Points

Slope Between Two Points
\[m = \frac{y_2-y_1}{x_2-x_1}\]

Variables

mslope
x1x-coordinate of first point
y1y-coordinate of first point
x2x-coordinate of second point
y2y-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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