How to Calculate Slope Distance

The slope of a line is its steepness, or the change in height in the x-coordinates of the line. The distance of a line is more commonly referred to as the length of a line segment. Essentially, it represents the distance between two points on the line. With the use of the x- and y-coordinates of each desired endpoint on the line, you can calculate the slope of a line along with the actual length of the line.

Things You'll Need

  • Paper
  • Pencil
  • Calculator
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Instructions

  1. Length or Distance

    • 1

      Mark down an "A" beside one of the line's endpoints and a "B" at the opposite end. This will give your endpoints names.

    • 2

      Record the x- and y-coordinates for point endpoints A and B.

    • 3

      Subtract the x-coordinate of endpoint A from the x-coordinate of endpoint B. Square the result and record the final squared result on a sheet of paper.

    • 4

      Repeat Step 3 with the y-coordinates for each endpoint and record the value.

    • 5

      Add the values obtained for the x- and y-coordinates. Calculate the square root of the final result to obtain the length of the line.

    Slope

    • 6

      Subtract the x-coordinate from endpoint A from the x-coordinate in endpoint B.

    • 7

      Repeat the procedure in Step 1 with the y-coordinates and record your results.

    • 8

      Divide the result from the y-coordinates by the result from the x-coordinate subtraction to obtain the slope of the line.

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