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How Do You Find the Slope of a Line from a Graph?

Find the slope for the graphed line.

Summary

  1. Plot the points (0,-2) and (3,4)
  2. To find the change in y, count up along the y-axis until you are level with the second point, and from there we can count to the right to find the change in x
  3. The change in y is positive 6 because we moved up 6 tick marks
  4. ∆ just means 'the change in'
  5. The change in x is positive 3 because we moved to the right 3 tick marks
  6. The slope of a line is found by dividing the change in y by the change in x

Notes

    1. Once we have two points on our line, we can use the formula to find the slope of the line
    1. Once we have two points on our line, we can use the formula to find the slope of the line
    1. The slope of a line is found by dividing the change in y by the change in x
    1. Each 'tick' mark on the y-axis is one unit
    1. We're counting the number of units, or tick marks, it takes to get to the same level as the second point, (3,4)
    1. We're counting the number of units, or tick marks, it takes to get from (0,-2) to the same level as the second point, (3,4)
    1. This is the change in y, which is what we are looking for
    1. The number we find will be positive
    1. We're counting the number of units, or tick marks, it takes to get from (0,-2) to the same level as the second point, (3,4)
    1. The slope of a line is found by dividing the change in y by the change in x
    1. The slope of a line is found by dividing the change in y by the change in x
    1. Each 'tick' mark on the x-axis is one unit
    2. We're just focusing on the x-coordinates
    1. We move up 6 units as in step 2
    2. Each 'tick' mark on the x-axis is one unit
    1. Each 'tick' mark on the x-axis is one unit
    1. Each 'tick' mark on the x-axis is one unit
    2. ∆ just means 'the change in'
    3. The change in x is 3
    1. The slope of a line is found by dividing the change in y by the change in x
    1. The slope of a line is found by dividing the change in y by the change in x
    2. The change in y was 6 and the change in x was 3
    1. The slope of a line is found by dividing the change in y by the change in x
    2. Slope = 6/3 = 2