2. Welcome to Interactive Chalkboard Algebra 1 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 5-1Slope Lesson 5-2Slope and Direct Variation Lesson 5-3Slope-Intercept Form Lesson 5-4Writing Equations in Slope-Intercept Form Lesson 5-5Writing Equations in Point-Slope Form Lesson 5-6Geometry: Parallel and Perpendicular Lines Lesson 5-7Statistics: Scatter Plots and Lines of Fit

5. Lesson 1 Contents Example 1Positive Slope Example 2Negative Slope Example 3Zero Slope Example 4Undefined Slope Example 5Find Coordinates Given Slope Example 6Find a Rate of Change

6. Example 1-6a Travel The graph to the right shows the number of U.S. passports issued in 1991, 1995, and 1999. Find the rates of change for 1991-1995 and 1995-1999. Use the formula for slope. millions of passports years

7. Example 1-6b 1991-1995: Substitute. Simplify. Answer: The number of passports issued increased by 1.9 million in a 4-year period for a rate of change of 475,000 per year.

8. Example 1-6c 1995-1999: Substitute. Simplify. Answer: Over this 4-year period, the number of U.S. passports issued increased by 1.4 million for a rate of change of 350,000 per year.

9. Example 1-6d Explain the meaning of slope in each case. Answer: For 1991-1995, on average, 475,000 more passports were issued each year than the last. For 1995- 1999, on average, 350,000 more passports were issued each year than the last.

10. Example 1-6e How are the different rates of change shown on the graph? Answer: There is a greater rate of change from 1991- 1995 than from 1995-1999. Therefore, the section of the graph for 1991-1995 has a steeper slope.

11. Example 1-6f Airlines The graph shows the number of airplane departures in the United States in recent years. a.Find the rates of change for 1990-1995 and 1995-2000. Answer:240,000 per year; 180,000 per year

12. Example 1-6g b.Explain the meaning of the slope in each case. Answer:For 1990-1995, the number of airplane departures increased by about 240,000 flights each year. For 1995- 2000, the number of airplane departures increased by about 180,000 flights each year.

13. Example 1-6h c.How are the different rates of change shown on the graph? Answer:There is a greater vertical change for 1990-1995 than for 1995-2000. Therefore, the section of the graph for 1990-1995 has a steeper slope.

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