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3.3 – Slope

3.3 – Slope. 3.3 – Slope. Recall how to graph y = 2 x – 3. 3.3 – Slope. Recall how to graph y = 2 x – 3. 3.3 – Slope. Recall how to graph y = 2 x – 3. 3.3 – Slope. Recall how to graph y = 2 x – 3. 3.3 – Slope. Recall how to graph y = 2 x – 3. 3.3 – Slope.

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3.3 – Slope

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  1. 3.3 – Slope

  2. 3.3 – Slope Recall how to graph y = 2x – 3.

  3. 3.3 – Slope Recall how to graph y = 2x – 3.

  4. 3.3 – Slope Recall how to graph y = 2x – 3.

  5. 3.3 – Slope Recall how to graph y = 2x – 3.

  6. 3.3 – Slope Recall how to graph y = 2x – 3.

  7. 3.3 – Slope Recall how to graph y = 2x – 3.

  8. 3.3 – Slope Recall how to graph y = 2x – 3.

  9. 3.3 – Slope Recall how to graph y = 2x – 3.

  10. 3.3 – Slope Recall how to graph y = 2x – 3.

  11. 3.3 – Slope Recall how to graph y = 2x – 3.

  12. 3.3 – Slope Recall how to graph y = 2x – 3.

  13. Slope

  14. Slope = Change in y Change in x

  15. Slope = Change in y Change in x m = y2–y1 x2 – x1

  16. Slope = Change in y Change in x m = y2–y1 , x2 – x1 for (x1,y1) and (x2,y2)

  17. Slope = Change in y Change in x m = y2–y1 , x2 – x1 for (x1,y1) and (x2,y2) *See bottom p.256*

  18. Slope = Change in y Change in x m = y2–y1 , Slope = x2 – x1 for (x1,y1) and (x2,y2) *See bottom p.256*

  19. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256*

  20. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256*

  21. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256*

  22. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256*

  23. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256*

  24. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1run for (x1,y1) and (x2,y2) *See bottom p.256*

  25. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1run for (x1,y1) and (x2,y2) *See bottom p.256*

  26. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4)

  27. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4)

  28. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) m = y2–y1 x2 – x1

  29. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 m = y2–y1 x2 – x1

  30. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1 m = y2–y1 x2 – x1

  31. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1x2 m = y2–y1 x2 – x1

  32. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1x2y2 m = y2–y1 x2 – x1

  33. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1x2y2 m = y2–y1 x2 – x1 = (4 – 2) (3 – (-1))

  34. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1x2y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  35. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1y1x2y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  36. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  37. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  38. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  39. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  40. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  41. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  42. Slope = Change in y Change in x m = y2–y1 , Slope = rise x2 – x1 run for (x1,y1) and (x2,y2) *See bottom p.256* Ex. 1 Find the slope of the lines through the following points: a. (-1,2) and (3,4) x1 y1 x2 y2 m = y2–y1 x2 – x1 = (4 – 2) = 1 (3 – (-1)) 2

  43. b.

  44. b. Slope =

  45. b. Slope =

  46. b. Slope = -1

  47. b. Slope = -1

  48. b. Slope = -1 3

  49. b. Slope = -1 3 c. (1,2) and (-1,2)

  50. b. Slope = -1 3 c. (1,2) and (-1,2) x1y1x2 y2

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