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2.3 Slope

2.3 Slope. Finding slope and rate of change Parallel and Perpendicular lines. Slope. Slope is the change in y over the change in x. Meaning Rise over Run It is the tilt of the line. Slope = Change in y Change in x. Equation to find slope. Given two points (x 1 , y 1 ), (x 2 , y 2 )

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2.3 Slope

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  1. 2.3 Slope Finding slope and rate of change Parallel and Perpendicular lines

  2. Slope Slope is the change in y over the change in x. Meaning Rise over Run It is the tilt of the line

  3. Slope = Change in y Change in x

  4. Equation to find slope Given two points (x1, y1), (x2, y2) (4, -2), (- 6, 1) Slope = y1 – y2 = (-2) – (1) = -3 x1 – x2 (4) – (- 6) 10

  5. Try the points ( - 3, 8) and (2, -4) What is the slope?

  6. Slopes can be grouped into classes Positive Negative Zero slope Undefined slope

  7. Another name for Slope is Rate of change Between 8:00 am and 11:00 am the temperature went from 58º to 72º. Find the rate of change. The points are (8, 58) and (11, 72)

  8. Another name for Slope is Rate of change Between 8:00 am and 11:00 am the temperature went from 58º to 72º. Find the rate of change. The points are (8, 58) and (11, 72) Rate of change = 58 – 72 = -1414 8 – 11 - 3 3 About 4.7 degrees per hour.

  9. Lines with the same slope are called?

  10. Lines with the same slope are called? Parallel. For example y = 2x + 1 y = 2x – 5 The slopes are both 2, it does not matter about the y intercept

  11. Perpendicular Lines Perpendicular lines have opposite reciprocal slope. If the slope is 2/5, then its opposite reciprocal would be -5/2

  12. y = ¼x + 4 and y = - 4x + 12Are Perpendicular lines

  13. How to use slope to graph If you are given a slope ⅜ and a point (1, 2) Find the next point by add 3 to 2 ( the y) add 8 to 1 ( the x) New point on the line is ( 9, 5). Slope is similar to giving directions; go 2 blocks north and turn right for 8 blocks.

  14. If a line is not Parallel or Perpendicular then it is Oblique Oblique means http://www.merriam-webster.com/dictionary/oblique.

  15. Homework Page 72 – 73 # 15, 18, 21, 22, 23, 26, 31, 34, 35, 36, 43, 44, 45, 46, 47

  16. Homework Page 72 – 73 # 16,19, 24, 25, 32, 33, 40- 42, 48, 50, 58 – 64 even 70 – 74 even

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