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  • 1. 2.2 Find Slope and Rate of Change
  • 2. 2.2 Find Slope and Rate of Change
    Example 1
    The roof of an entryway to an office building has a rise of 40 feet and a run of 100 feet. What is its slope?
  • 3. 2.2 Find Slope and Rate of Change
    Example 2
    What is the slope of the line passing through the points (-4, -5), (6, -2)?
    If (x1, y1) = (2, 1) and (x2, y2) = (-1, 3), would the slope be different?
  • 4. 2.2 Find Slope and Rate of Change
  • 5. 2.2 Find Slope and Rate of Change
  • 6. 2.2 Find Slope and Rate of Change
    Example 3
    Without graphing , tell whether the line through the given points rises, falls, is horizontal or is vertical.
    (1, 6), (8, -1)
    (-4, -3), (7, 1)
    (-5, 3), (-5, 1)
    (9, 2), (-9, 2)
  • 7. 2.2 Find Slope and Rate of Change
  • 8. 2.2 Find Slope and Rate of Change
    Two lines that do not intersect are called parallel lines.
    Two lines that intersect to form a right angle are called perpendicular lines.
    Using slopes we can determine whether two different non vertical lines are parallel or perpendicular.
  • 9. 2.2 Find Slope and Rate of Change
  • 10. 2.2 Find Slope and Rate of Change
    Example 4
    Tell whether the lines are parallel, perpendicular or neither.
    Line 1: (-2, 1) and (0, -5); Line 2: (0, 1) and (-3, 10)
    Line 1: (-5, 3) and (-2, -3); Line 2: (4, 11) and (-4, -5)
  • 11. 2.2 Find Slope and Rate of Change
    If two lines are parallel what do we know about their y-intercepts?
    If one of two perpendicular lines has a slope of 1/a and a<0, is the slope of the other line positive or negative?
  • 12. 2.2 Find Slope and Rate of Change
  • 13. 2.2 Find Slope and Rate of Change
    Another term for slope is rate of change, where a rate is a ratio of two quantities that have different units.
    Real life rate of change has units like miles per hour or degrees per pay.
  • 14. 2.2 Find Slope and Rate of Change
    Example 5
    Predict the percent of forestland in New Hampshire in 2005.
    1983 – 87% forested
    2001 – 81.1% forested.
  • 15. 2.2 Find Slope and Rate of Change
    How do you determine whether two nonvertical lines are parallel or perpendicular?