ha1 3 4 challenge

Name ——————————————————————— LESSON 3.4 Date ———————————— Challenge Practice For use with the lesson “Find Slope and ...

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Name ——————————————————————— LESSON

3.4

Date ————————————

Challenge Practice For use with the lesson “Find Slope and Rate of Change”

LESSON 3.4

In Exercises 1–4, find the slope of the line passing through the pair of points. Assume a and b are nonzero real numbers. 1. (a, b) and (1, 4) 2. (a, b) and (2a, 5b) 3. (a, b) and (b, a) 4. (3a, b) and (–3b, –a)

In Exercises 5–8, find the value of x so that the line through the first pair of points is parallel to the line through the second pair of points. Two different lines are parallel if they both have the same slope or both have an undefined slope. 5. (3, 22) and (1, 5); (23, x) and (1, 4) 6. (1, 6) and (x, 2); (2, 7) and (–3, 2) 7. (6, 4) and (1, 4); (23, x) and (1, 7)

Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.

8. (2, 22) and (x, 1); (26, 0) and (26, 9)

In Exercises 9–12, find the value of x so that the line through the first pair of points is perpendicular to the line through the second pair of points. Two lines are perpendicular if the product of their slopes is 21 or if one line has zero slope and the other line has undefined slope. 9. (24, 22) and (3, 2); (0, x) and (1, 3) 10. (2, 2) and (x, 5); (23, 8) and (2, 23) 11. (2, 23) and (1, 23); (23, 2) and (x, 7) 12. (2, 3) and (x, 29); (26, 0) and (6, 0)

Algebra 1 Chapter Resource Book

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11 2 4 1 7. 22 8. 2} 9. 2} 10. 2} 11. 2} 6 3 3 3 5 2 3 } } 12. 0 13. 2 14. 2 15. undefined 16. } 3 3 5 4 2 4 4 17. } 18. undefined 19. 2} 20. } 21. } 7 5 7 5 5 1 22. 0 23. } 24. } 25. 4 26. 27 27. 9 4 6 28. 21 29. 23 30. 24 31. a. From 10 to 15 min. b. From 0 to 5 min. c. Your speed

increased from 0 to 15 minutes, then you slowed down for the rest of the ride. 32. a. From 1996 to 1998 b. From 1996 to 1998 c. Overall, both fuel consumptions increased in the number of miles per gallon. This is because the number of miles per gallon at the end of the time period was greater than the number of miles per gallon at the beginning of the time period. Study Guide 3 5

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1. } 2. 2} 3. 0 4. undefined 5. 12.5 calories per minute

Interdisciplinary Application 1. 0.9125 dollar per year 2. 0.1928 dollar per year 3. from 1975 to 1980 4. Sample answer: $5.50; comparisons may vary. 5.

Changing Minimum Wage (in 1996 Dollars) Minimum wage (dollars)

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Lesson 3.5 Graph Using Slope-Intercept Form Teaching Guide 1. slope: 3, y-intercept: 6 2. Sample answer: The slope gives the cost for

one pool pass, $3. The y-intercept could be the fee to sign up to buy pool passes, $6. 3. Sample answer: First plot the point for the y-intercept, then use the slope to find a second point on the line. Connect the points to draw the line. Graphing Calculator Activity 1. parallel 2. parallel 3. intersect 4. intersect 5. parallel 6. intersect 7. The equations of parallel lines have the same

slope. Practice A 2 1. Slope: 2; y-intercept: 1 2. Slope: }; 3 1 y-intercept: 1 3. Slope: 2}2 ; y-intercept: 2 1 4. Slope: 2, y-intercept: 2 5. Slope: }, 2 3 } y-intercept: 21 6. Slope: 2 , y-intercept: 1 7. Slope: 3; y-intercept: 4 8. Slope: 5,

y-intercept: 22 9. Slope: 22; y-intercept: 8 3 1 10. Slope: }; y-intercept: 0 11. Slope: 2}; 2 4 y-intercept: 21 12. Slope: 4; y-intercept: 4

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Algebra 1 Chapter Resource Book

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Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.

ANSWERS

Lesson 3.4 Find Slope and Rate of Change, continued