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Algebra 1 power pointlr Algebra 1 power pointlr Presentation Transcript

  • Algebra 1
    Chapter 5
  • Slope
    Slope is represented by the letter m
    Rise
    Run
    Slope =
  • Where can slope be found in the world?
  • Construction
  • Recreation
  • Sports
  • Engineering
  • Quick Reminder
    Lines rising from left to right have a positive slope
  • Lines falling from left to right have a negative slope
  • 0 slope
  • No Slope= undefined
  • Finding Slope by counting squares
    run
    rise
    Rise= 3
    Run= 2
    3
    2
    Slope=
  • Practice
    What is the slope?
    Find the slope by counting rise over run.
  • Answer to practice
    run
    rise
    3
    1
    Slope=
    or 3
  • More Practice
    What is the slope? Count rise over run.
  • Answer
    5
    4
    Slope=
    -
  • Calculating slope
    Requires two points (x ,y ) (x ,y )
    m=
    2
    2
    1
    1
    y - y
    x - x
    2
    1
    2
    1
  • 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
  • Slope Intercept Form
    y= mx+b
    m= slope
    b= y intercept
    slope y intercept
  • y intercept
    The y intercept is where the line crosses the
    y axis. y axis
    y intercept
    y intercept = 2
    x axis
  • y intercept
    y intercepts can be positive
    or negative numbers
    y axis
    x axis
    y intercept= +1
    y axis
    x axis
    y intercept= -2
  • 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.
  • Point-slope Form
    y- y = m(x-x )
    1
    1
  • 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.
  • 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