1 / 17

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 )

qiana
Télécharger la présentation

2.3 Slope

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related