Section 4.4 Slope

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Section 4.4 Slope

  1. 1. Warm - Up Identify the x – coordinate and y – coordinate of each ordered pair. (-3,4) (0,-7) (5,0) (-9,-2)
  2. 2. Section 4.4 The Slope of a Line  Definitions:  Slope – of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right.  Rate of Change – slope is an important way of visualizing a rate of change 2 1 2 1 rise changeiny y y Slope run changeinx x x − = = = −
  3. 3. Classifications of line by slope
  4. 4. Example One  Find the slope of the line passing through (- 2,2) and (3,4).
  5. 5. Example Two  Find the slope of the line passing through (- 1,2) and (3,2).
  6. 6. Example Three  Find the slope of the line passing through (0,0) and (3,-3).
  7. 7. Example Four  Find the slope of the line passing through (2,4) and (2,1).
  8. 8. Example Five  Find the value of y so that the line passing through the points (-2,1) and (4,y) has a slope of 2/3.
  9. 9. Example Six  Find the value of y so that the line passing through the points (3,y) and (5,8) has a slope of 2.
  10. 10. Example Six  Find the value of y so that the line passing through the points (3,y) and (5,8) has a slope of 2.

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