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Algebra 1 power pointlr

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Transcript

  • 1. Algebra 1
    Chapter 5
  • 2. Slope
    Slope is represented by the letter m
    Rise
    Run
    Slope =
  • 3. Where can slope be found in the world?
  • 4. Construction
  • 5. Recreation
  • 6. Sports
  • 7. Engineering
  • 8. Quick Reminder
    Lines rising from left to right have a positive slope
  • 9. Lines falling from left to right have a negative slope
  • 10. 0 slope
  • 11. No Slope= undefined
  • 12. Finding Slope by counting squares
    run
    rise
    Rise= 3
    Run= 2
    3
    2
    Slope=
  • 13. Practice
    What is the slope?
    Find the slope by counting rise over run.
  • 14. Answer to practice
    run
    rise
    3
    1
    Slope=
    or 3
  • 15. More Practice
    What is the slope? Count rise over run.
  • 16. Answer
    5
    4
    Slope=
    -
  • 17. Calculating slope
    Requires two points (x ,y ) (x ,y )
    m=
    2
    2
    1
    1
    y - y
    x - x
    2
    1
    2
    1
  • 18. Example
    (3, -2)
    (1, -4)
    y -y
    (x ,y )
    (x ,y )
    -4-1
    1-3
    -5
    -2
    5
    2
    1
    2
    1
    1
    2
    2
    =
    =
    x - x
    (3 , -2)
    (1 , -4)
    1
    2
  • 19. Slope Intercept Form
    y= mx+b
    m= slope
    b= y intercept
    slope y intercept
  • 20. y intercept
    The y intercept is where the line crosses the
    y axis. y axis
    y intercept
    y intercept = 2
    x axis
  • 21. y intercept
    y intercepts can be positive
    or negative numbers
    y axis
    x axis
    y intercept= +1
    y axis
    x axis
    y intercept= -2
  • 22.
  • 23. Graphing Slope Intercept Form
    Step one: graph y intercept on y axis
    Step two: from that point use slope to graph second point
    Step three: connect the points
    You have now graphed a line using slope-intercept form.
  • 24.
  • 25.
  • 26. Point-slope Form
    y- y = m(x-x )
    1
    1
  • 27. Point slope form requirements
    You must have one point and the slope of the line in order to write in point-slope form.
    You then substitute the slope in for the letter m and the numbers from the point in there correct spot.
  • 28.
  • 29. Prentice Hall Algebra I Volume 1 Teacher’s Edition Pearson Education Inc.,
    2011 (p.311).
    Prentice Hall Algebra I Volume I Teacher’s Edition Teacher Resources Chapter 5, Pearson Education Inc., 2011 (Practice Forms)
    This citation is for slides (8-28).
    I