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How to Calculate the Gradient of a Line

The gradient of a line, also known as the slope, measures the vertical change per horizontal change. This also is known as the rise over the run. The rise refers to how much a line goes up or down, and the run refers to the amount the line moves from left to right. The slope can be positive, reflecting a line that goes up as you move to the right, or negative, reflecting a line that goes down as you move right.

Things You'll Need

  • Calculator
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Instructions

    • 1

      Subtract the starting x-coordinate from the ending x-coordinate to find the run, or the change in the horizontal position. For example, if your line starts at (-1, 5) and goes through (4, 15), subtract -1 from 4, or 4 - (-1), to get 5.

    • 2

      Subtract the starting y-coordinate from the ending y-coordinate to find the rise, or the change in the vertical position. For example, if your line starts at (-1, 5) and goes through (4, 15), subtract 5 from 15 to get 10.

    • 3

      Divide the rise by the run to find the gradient of the line. In this example, divide 10 by 5 to get a gradient of 2.

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