1 / 33

Simplify.

2 3. Exercise. Simplify. 4 − 2 5 − 2. 3 2. Exercise. Simplify. 5 − 2 4 − 2. Exercise. Simplify. 2 3. 2 − 4 5 − 2. –. 2 3. Exercise. Simplify. 2 − 4 2 − 5. Exercise. Simplify. 2 − 2 5 − 2. 0. Exercise. Simplify. 4 − 2 2 − 2. undefined. Rise.

fleta
Download Presentation

Simplify.

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. 23 Exercise Simplify. 4 − 25 − 2

  2. 32 Exercise Simplify. 5 − 24 − 2

  3. Exercise Simplify. 23 2 − 45 − 2 –

  4. 23 Exercise Simplify. 2 − 42 − 5

  5. Exercise Simplify. 2 − 25 − 2 0

  6. Exercise Simplify. 4 − 22 − 2 undefined

  7. Rise The rise is the vertical change from point P1 to point P2 on a line.

  8. Run The run is the horizontal change from point P1 to point P2 on a line.

  9. Slope The slope of a line is the ratio of the rise to the run. The variable m is often used for slope.

  10. y x

  11. y x

  12. Slope up to right positive down to right negative horizontal zero vertical undefined

  13. riserun Slope = m =

  14. m = = −3 −3 −31 1 Example 1 Find the slope of the given line. y x

  15. vertical change y2 − y1horizontal change x2 − x1 = Slope Formula If a line contains the points P2 (x2, y2) and P1 (x1, y1), thenm =

  16. y2 − y1x2 − x1 5 − 2 7 − 1 m = = 36 12 = = Example 2 Find the slope of the line that contains the points (1, 2) and (7, 5).

  17. y2 − y1x2 − x1 5 − 3 2 − 5 m = = 2−3 23 = = − Example 3 Find the slope of CD passing through (5, 3) and (2, 5).

  18. 2 − 2 −1 − 3 y2 − y1x2 − x1 m = = 0−4 = Example 4 Find the slope of EF passing through (3, 2) and (−1, 2). = 0

  19. y (−1, 2) (3, 2) x

  20. y2 − y1x2 − x1 5 − 1 2 − 2 m = = 40 = Example 5 Find the slope of the line passing through the points (2, 1) and (2, 5).

  21. y (2, 5) (2, 1) x

  22. Example Graph and determine the slope of the following lines. y = 3x + 5 m = 3

  23. y = − x + 2 12 12 m = − Example Graph and determine the slope of the following lines.

  24. y = x − 1 23 23 m = Example Graph and determine the slope of the following lines.

  25. Example Graph and determine the slope of the following lines. y = 4 m = 0

  26. Example Graph and determine the slope of the following lines. y = −3x + 6 m = −3

  27. Example Graph and determine the slope of the following lines. x = 4 undefined

  28. Example Compare the slopes of the lines in the previous questions to the coefficients of x. They are the same.

  29. 52 m = Example Find the slope of the line through (3, 7) and (5, 12).

  30. Example Find the slope of the line through (2, 3) and (4, −9). m = −6

  31. Example Find the slope of the line through (2, 5) and (3, 5). m = 0

  32. Example Find the slope of the line through (1, 1) and (1, 2). m = undefined

  33. Example Graph the following lines and describe their graphs: y = 3x − 4, y = 3x, and y = 3x + 2. Their slopes are the same and the lines are parallel.

More Related