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Lesson 2 2

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Lesson 2 2

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

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