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Finding The Slope of a Line

Finding The Slope of a Line. Slopes are commonly associated with mountains. The slope we are studying is associated with the graph of a line. Definitions of Slope. The tilt or inclination of a line The ratio of vertical change to horizontal change. The change in y over the change in x.

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Finding The Slope of a Line

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  1. Finding The Slope of a Line

  2. Slopes are commonly associated with mountains.

  3. The slope we are studying is associated with the graph of a line.

  4. Definitions of Slope • The tilt or inclination of a line • The ratio of vertical change to horizontal change. • The change in y over the change in x

  5. Tilt or Inclination

  6. Vertical ChangeHorizontal Change This ratio is also known as… Rise Run

  7. How many points do you need to draw a line? • One • Two • Three

  8. Graph (3,2) and (-1,-1)

  9. Draw a line through the points.

  10. Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical or Rise Horizontal Run

  11. Vertical Changeor the Rise 3

  12. Horizontal Changeor the Run 4 3

  13. Vertical RiseHorizontal Run 3 4

  14. Find the slope of the following line.

  15. The slope is… 1 2

  16. Find the slope of the line.

  17. The slope is…. -3

  18. Find the slope of these lines.

  19. The slope is… • Black line 3 • Red Line 1 • Blue Line -1/2

  20. Find the slope of these lines

  21. The slope is… • Orange line 0 • Green Line Undefined

  22. Let’s draw a line using slope. What else do you think you need besides the slope in order to draw a line? A point!

  23. If you know the slope and one point on the line you can draw the line.Example: slope is 1/3 and the point (-2,-1)

  24. Now you draw a line. • Given: slope is 2/3 and the point is (1,0) • Given: slope is –3 and the point is (–2,4) • Given: slope is 1 and the point is (2,3)

  25. The graphs are…

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