Lecture 2.2b 2.3 bt

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Lecture 2.2b 2.3 bt

  1. 1. Today’s Agenda • Attendance / Announcements – Exam 1 – Tuesday 9/24 • Covers Chapters 1.1 to 2.4 (skip 2.5) • Project 1 • Questions from HW? • Section 2.2b, 2.3
  2. 2. Quick Review Write the following equation in slope-intercept form 752 yx
  3. 3. Slopes…continued Find the slope of the line through the points (-4, 2) and (3, 2) So, horizontal lines have a slope of…. And have an equation of….
  4. 4. Slopes…continued Find the slope of the line through the points (-3, 2) and (-3, 6) So, vertical lines have a slope of…. And have an equation of….
  5. 5. Slopes…continued Parallel lines never intersect. They have the same slope.
  6. 6. Slopes…continued Are the following pairs of lines parallel? 6 4 3 2 3 2 xy xy 6 6 xy xy 843 64 3 yx xy
  7. 7. Slopes…continued Perpendicular lines meet at right angles. They have slopes of negative reciprocals. Also, the product of the slopes of perpendicular lines must equal -1
  8. 8. Slopes…continued Are the following pairs of lines parallel, perpendicular, or neither? 3 4 xy xy
  9. 9. Slopes…continued Are the following pairs of lines parallel, perpendicular, or neither? 3 6 6 1 xy y 4 1 2 3 3 2 4 xy xy
  10. 10. Point-Slope Form (p. 94) To find an equation of a line when you have a point, and a slope
  11. 11. Point-Slope Form Find the equation of the line with slope -3 through the point (-4, 1) )( 11 xxmyy
  12. 12. Point-Slope Form Find the equation of the line that passes through the points (-1, -2) and (2, -1) )( 11 xxmyy
  13. 13. Forms of Linear Equations (p. 95)
  14. 14. 2.3 Linear Modeling General Idea / Steps • Plot data onto a graph (scatterplot) • Create “line of best fit” (linear model) • Find equation of linear model • Use to predict new or unknown data
  15. 15. Year 2003 2004 2005 2006 2007 Profit 15.0 16.6 16.4 20.8 22.2 The profits of the General Electric Company (GE), in billions of dollars, over a five-year period are shown in the following table. Let x = 3 correspond to 2003. Plot the data.
  16. 16. Year 2003 2004 2005 2006 2007 Profit 15.0 16.6 16.4 20.8 22.2 What would you expect the profit to be in 2010? Remember, the x-value corresponds to the year. And the y-value corresponds to the profit.
  17. 17. Year 2003 2004 2005 2006 2007 Profit 15.0 16.6 16.4 20.8 22.2 When would you expect the profit to exceed $50 billion? Remember, the x-value corresponds to the year. And the y-value corresponds to the profit.
  18. 18. Classwork / Homework Page 97 33 – 61 e.o.odd, 69 Page 108 1, 5, 7 Reviewing Lines Worksheet

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