Slope Calculator

Calculate the slope of any line. Enter the x and y coordinates of any two points along a line to calculate the slope of the line, and distance between points.

Slope Formula

The slope of a line can be calculated through the following formula:

slope = (y₂ – y₁) / (x₂ – x₁)

  • y₂ = y coordinate of point 2
  • y₁ = y coordinate of point 1
  • x₂ = x coordinate of point 2
  • x₁ = x coordinate of point 1

Another word for slope is gradient. The gradient of a line is the rate of change in the coordinates with respect to Y/X. The slope is also often called rise over run. This corresponds to the common terminology that says that the Y axis is vertical “rise” and the X axis is horizontal “run”. The steeper the slope the greater the ratio of the Y position to X position. The shallower the slope the greater the ratio of X position to Y position.

How to Calculate Slope

Below is an example of how you might calculate the slop of a line with limited information. Let’s assume you are given a the coordinates (2,3) and (4,5).

  1. First, you need to subtract y2-y1. Through this you get 2.
  2. Next, you need to subtract X2-X1. Through this you get 2.
  3. Now divide y by x. 2/2=1. Your slope is equal to 1.
  4. The last step is to analyze your results.
slope calculator

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