1. EXAMPLE 2 Making a Line Graph

2. EXAMPLE 2 Making a Line Graph Population

3. EXAMPLE 2 Making a Line Graph Population The table below shows the population of Austin County in southeast Texas from 1920 to 1990. Make a line graph of the data.

4. EXAMPLE 2 Making a Line Graph Population The table below shows the population of Austin County in southeast Texas from 1920 to 1990. Make a line graph of the data.

5. EXAMPLE 2 Making a Line Graph STEP 1 Make a list of ordered pairs. Think of each column in the table as an ordered pair: (year, population)

6. EXAMPLE 2 Making a Line Graph STEP 1 Make a list of ordered pairs. Think of each column in the table as an ordered pair: (year, population) ( 1920, 18, 874 ), ( 1930, 18, 860 ), ( 1940, 17, 384 ), ( 1950, 14, 663 ), ( 1960, 13, 777 ), ( 1970, 13, 831 ), ( 1980, 17, 726 ), ( 1990, 19, 832 )

7. EXAMPLE 2 Making a Line Graph STEP 2 Choose a scale that includes all the population values in your table.

8. EXAMPLE 2 Making a Line Graph STEP 2 Choose a scale that includes all the population values in your table. STEP 3

9. EXAMPLE 2 Making a Line Graph STEP 2 Choose a scale that includes all the population values in your table. STEP 3 Graph each point.

10. EXAMPLE 2 Making a Line Graph STEP 2 Choose a scale that includes all the population values in your table. STEP 3 Graph each point. STEP 4

11. EXAMPLE 2 Making a Line Graph STEP 2 Choose a scale that includes all the population values in your table. STEP 3 Graph each point. STEP 4 Draw line segments to connect the points.

12. GUIDED PRACTICE for Example 2 In Exercises 5 and 6, use the graph above. In which year was Austin County’s population the greatest? 5.

13. ANSWER GUIDED PRACTICE for Example 2 In Exercises 5 and 6, use the graph above. In which year was Austin County’s population the greatest? 5. 1990

14. ANSWER GUIDED PRACTICE for Example 2 In Exercises 5 and 6, use the graph above. In which year was Austin County’s population the greatest? 5. 6.Over which decades did the population have its greatest increase? How can you tell from the graph? 1990

15. ANSWER GUIDED PRACTICE for Example 2 In Exercises 5 and 6, use the graph above. In which year was Austin County’s population the greatest? 5. 6.Over which decades did the population have its greatest increase? How can you tell from the graph? 1970 to 1980. The segment between 1970 and 1980 shows the steepest angle of incline. 1990

16. EXAMPLE 3 Comparing Graphs

17. Radio Stations EXAMPLE 3 The two graphs below both show the number of AM radio stations in the United States. The first uses a full scale. The second uses a broken scale, deleting values between 0 and 4500. Compare the graphs. Comparing Graphs

18. EXAMPLE 3 Comparing Graphs

19. EXAMPLE 3 Comparing Graphs

20. SOLUTION EXAMPLE 3 Both graphs are accurate displays. Comparing Graphs

21. SOLUTION EXAMPLE 3 Both graphs are accurate displays. The number of AM radio stations is declining. The full scale shows that the decline is very slow. Comparing Graphs

22. SOLUTION EXAMPLE 3 Both graphs are accurate displays. The number of AM radio stations is declining. The full scale shows that the decline is very slow. The broken scale makes the data easy to read, but makes the decline seem sharper than it is. Comparing Graphs