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2. Lesson Menu Objectives Vocabulary Example 1 Example 2 Example 3 Quick Quiz

3. Objectives To develop an understanding of negative slope and a negative constant term To recognize proportional and nonproportional relationships between distance and time To recognize linear relationships from symbolic rules, graphs, patterns, and tables and to convert one form into another To relate speed to the slope of a graph of distance over time

4. Vocabulary speed velocity y-intercept slope

5. Example 1 HILLS Find the slope of a hill that rises 30 feet for every horizontal change of 150 feet. Write the formula. rise = 30 feet, run = 150 feet Simplify. Answer:

6. 1.A 2.B 3.C 4.D Example 1 Find the slope of a hill that rises 40 feet for every horizontal change of 100 feet. A. B. C. D.

7. Example 2 A. Find the slope of the line. Answer: The slope is 3. Definition of slope (x 1, y 1 ) = (0, 1) (x 2, y 2 ) = (1, 4) 3

8. Example 2 B. Find the slope of the line. Definition of slope (x 1, y 1 ) = (3, 1) (x 2, y 2 ) = (–3, 3)

9. 1.A 2.B 3.C 4.D Example 2 A. Find the slope of the line. A. B. C. D.

10. 1.A 2.B 3.C 4.D Example 2 B. Find the slope of the line. A. B. C. D.

11. Example 3 Which line graphed below best represents the table of values for the ordered pairs (x, y)? A.B. C.D. Slope and Intercept

12. Example 3 Solve the Item The values in the table represent the ordered pairs (0, 1), (1, 3), (2, 5), and (3, 7). Answer: D Read the Item You need to decide which of the four graphs represents the data in the table. Test the ordered pairs with each graph. Graph D is the only graph which contains all these ordered pairs. The answer is D.

13. 1.A 2.B 3.C 4.D Example 3 Which line graphed below best represents the table of values for the ordered pairs (x, y)? A.B. C.D.

14. 1.A 2.B 3.C 4.D Quick Quiz 1 A. Select the rule to match the graph. A.p = q + 2 B.p = 2q + 1 C.p = 2q D.p = 5 – q

15. 1.A 2.B 3.C 4.D Quick Quiz 1 B. Select the rule to match the graph. A.p = 5 – q B.p = 2q C.p = q + 2 D.p = 2

16. 1.A 2.B 3.C 4.D Quick Quiz 1 C. Select the rule to match the graph. A.p = 2 B.p = 2q C.p = q + 2 D.p = 5 – q

17. 1.A 2.B 3.C 4.D Quick Quiz 1 D. Select the rule to match the graph. A.p = 2q B.p = 2q + 1 C.p = 2 D.p = q + 2

18. 1.A 2.B 3.C 4.D Quick Quiz 1 E. Select the rule to match the graph. A.p = q + 2 B.p = 2q + 1 C.p = 2q D.p = 2

19. 1.A 2.B 3.C 4.D Quick Quiz 2 A. A strip of cloth 12 yards long is cut into two smaller pieces. If A stands for the number of yards in one piece and B stands for the number of yards in the other piece, select the correct rule below that relates the two lengths. A.A + B = 12 B.A + B = 24 C.A – B = 12 D.A + B = 6

20. 1.A 2.B 3.C 4.D Quick Quiz 2 B. A strip of cloth 12 yards long is cut into two smaller pieces. If A stands for the number of yards in one piece and B stands for the number of yards in the other piece, select another way to write the rule that relates the two lengths. A.B = 6 – A B.B = 4 – A C.A = 12 – B D.A = 4 – B

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22. Resources Image Bank Math Tools Multilingual e-Glossary Slope and Intercept

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