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Understanding Slope in Linear Functions

Learn how to find slope using rise over run, identify order pairs, and analyze the steepness of lines. Practice finding slope from coordinates and understand the rate of change in linear functions. Explore positive, negative, zero, and undefined slopes.

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Understanding Slope in Linear Functions

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  1. Pages 387 - 391 Lesson 8. 4 Slope Lesson 8.6 Slope Page 433 CCS 8 EE 5 In this lesson we will: Review and Identify order pairs Find the Slope of a line using the formula ********* Slope will always be written as m in the equation y = mx + b

  2. Slope is the ratio of the Rise (the Vertical Change) to the Run ( the horizontal change of a line. It descreibes the steepness of the line. In linear functions, NO Matter which Two points you choose, the Slope, or the Rate of Change , of the line is always constant

  3. Slope (m) Rate of Change Rise Vertical Change y - y Run Horizontal Change x - x

  4. Slope is the ratio of the Rise (the Vertical Change) to the Run ( the horizontal change of a line. It descreibes the steepness of the line. In linear functions, NO Matter which Two points you choose, the Slope, or the Rate of Change , of the line is always constant Vertical Change Rise Horizontal Change Run

  5. Review: In the prior lesson we found the slope using Rise Run 25 feet hill 80 feet What is the slope?

  6. Review: In the prior lesson we found the slope using Rise Run rise run 25 feet hill 25 80 5 16 Reduced 80 feet

  7. How do you find the slope (m) without graph paper? OR What if I do not want to use rise/run? ******** Use the coordinates of any two points on a line Example 3 Page 434

  8. Definition of a slope Slope - Easier to Leave as fraction or Whole Number Rate of Change - Easier to understand when decimal of Whole Number

  9. (-2,1) (0, -3)

  10. (-1, 1) (3,1) Zero Slope HINT: y are the same

  11. (-5,6) (-5,0) Underfined slope HINT: x are the same

  12. Do by yourself (-3,0) (0,-2) Page 390 Problem 5

  13. Page 390 Problem 6 (-1,2) (1,2)

  14. Use a graph to find the slope Page 434 Example 2a and 2b

  15. Page 434 Example 2A

  16. Guided Practice count rise run 2A 2B Page 435 (top)

  17. Wednesday Continue Finding the Slope by using Coordinates of Points and Graphs Positive Slope Negative Slope

  18. Positive Slope

  19. Negative Slope

  20. Zero Slope

  21. Underfined Slope

  22. Assignment Pages 435 - 436 Problems 2, 3 and 10 - 13 and 14 - 19

  23. Assignment Page 435 Problems 1 - 7 Assignment Page 436 Problems 8 - 19

  24. Assignment Page 435 Problems 1 - 7 Assignment Page 436 Problems 8 - 19

  25. 7. (3,4) (4,6)

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