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Warm-Up

Explore slope definition, formulas, and examples. Practice finding slope from graphs and points. Understand horizontal and vertical line slope concepts. Homework worksheet included.

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Warm-Up

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  1. Warm-Up

  2. Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine the slope of a line given two points on the line. State the formula for slope as slope equation

  3. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Slope run rise

  4. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Example 1 Graph the line containing points (2,1) and (7,6) and find the slope. run rise

  5. Practice Graph the line containing these points and find their slopes. 1) (-2,3) (3,5) 2) (0,-3) (-3,2)

  6. Slope = Slope or

  7. Example 2 Find the slope of the line containing points (1,6) and (5,4).

  8. Practice Find the slope of the lines containing these points. 2) (-2,3) (2,1) 1) (2,2) (8,9) 3) (5,-11) (-9,4)

  9. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Slope of a Horizontal Line What about the slope of a horizontal line? What is the rise? 0 6 What is the run? The slope of ANY horizontal line is 0.

  10. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Slope of a Vertical Line What about the slope of a vertical line? What is the rise? 5 0 What is the run? The slope of ANY vertical line is undefined.

  11. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Example 1 Find the slope of the line y = -4.

  12. 10 8 6 4 Slope = 2 10 6 8 -2 -4 2 4 -2 -4 -6 -8 -10 Example 2 Find the slope of the line x = 7. The line has no slope.

  13. Practice Find the slopes, if they exist, of the lines containing these points. 1) (9,7) (3,7) 2) (4,-6) (4,0) 3) (2,4) (-1,5)

  14. Homework Worksheet on Slope

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