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Happy Wednesday!

Happy Wednesday!. Tests are not graded New hw stamp log today Binder organization. After Test Worksheet. Questions?. Warm ups. Graph and label the following Points. A: B: C: D: E: F:. (3,2) (-5,1) (-4,3) (0,-2) (4,0) (-2,-3). 6-1 Slope.

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Happy Wednesday!

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  1. Happy Wednesday! • Tests are not graded • New hw stamp log today • Binder organization

  2. After Test Worksheet • Questions?

  3. Warm ups Graph and label the following Points A: B: C: D: E: F: (3,2) (-5,1) (-4,3) (0,-2) (4,0) (-2,-3)

  4. 6-1 Slope Objective: To identify the slope of a graph and to find the slope of a line given two points on the line.

  5. Slope Think, pair, share: • What do you know about slope? • Where might you see slope? • What might we use slope for?

  6. Slope • Slope is the slant of a line • slope = m = rise run • Always write as an improper fraction in simplest form rise = up (+) down (-) run = right (+) left (-)

  7. Finding Slope on graph     

  8. Generalizations • Can we make any generalizations? • You can start at either point negative positive + − Positive slope writes up, negative slope writes down

  9. special cases • How do these lines look different? • Vertical and horizontal 5. rise = 0 run = 2 2. rise = 4 run = 0 Undefined Zero slope Error – can’t divide by 0!! Undefined = no slope = 0

  10. Slope Directions: Find the slope given two points. (x1,y1) (x2, y2) m = y2 − y1 x2 − x1 m = slope Plug the numbers into the formula!

  11. Examples Find the slope given two points. • (3,10) (12,5) m = 5− 10 12− 3 • (-1,5) (-3,7) • m = 7 – 5 • -3 – (-1) • m = 7 – 5 • -3 + 1 x1 y1 x2 y2 x1 y1 x2 y2 = -5 9 = 2 -2 = -1

  12. Undefined (-2,3) (-2,-3) m = -3 – 3 -2 – (-2) • Zero on bottom of fraction • #/0 • Vertical line • Same x’s in ordered pairs x1 y1 x2 y2 = -3 - 3 -2 + 2 = -6 0 = Undefined

  13. Zero Slope (-1,4) (2,4) m = 4 – 4 2 – (-1) • Zero on top of fraction • 0/# • horizontal line • Same y’s in ordered pairs x1 y1 x2 y2 = 4 - 4 2 + 1 = 0 3 = Zero slope

  14. Tell a partner • How do you find the slope given a line? • How do you find the slope given two points? • What does a positive/negative slope look like?

  15. Homework • Rate of Change and Slope Worksheet

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