2_4 - Chapter 2 237 Graphs 2.4 Lines 1 undefined 0...

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Unformatted text preview: Chapter 2 237 Graphs 2.4 Lines 1. undefined, 0 2. (3,0), (0,2) 3. y = b , y- intercept 4. True 5. False 6. True 7. (a) Slope = 1- 2- = 1 2 (b) If x increases by 2 units, y will increase by 1 unit. 8. (a) Slope = 1-- 2- = - 1 2 (b) If x increases by 2 units, y will decrease by 1 unit. 9. (a) Slope = 1- 2 1- (- 2) = - 1 3 (b) If x increases by 3 units, y will decrease by 1 unit. 10. (a) Slope = 2- 1 2- (- 1) = 1 3 (b) If x increases by 3 units, y will increase by 1 unit. 11. ( x 1 , y 1 ) ( x 2 , y 2 ) 12. ( x 1 , y 1 ) ( x 2 , y 2 ) (2,3) (4,0) Slope = y 2- y 1 x 2- x 1 =- 3 4- 2 = - 3 2 (4, 2 ) (3, 4 ) Slope = y 2- y 1 x 2- x 1 = 4- 2 3- 4 = 2- 1 = - 2 Chapter 2 Graphs 238 13. ( x 1 , y 1 ) ( x 2 , y 2 ) 14. ( x 1 , y 1 ) ( x 2 , y 2 ) (- 2,3) (2,1) Slope = y 2- y 1 x 2- x 1 = 1- 3 2- (- 2) =- 2 4 = - 1 2 (- 1, 1) (2, 3) Slope = y 2- y 1 x 2- x 1 = 3- 1 2- (- 1) = 2 3 15. ( x 1 , y 1 ) ( x 2 , y 2 ) 16. ( x 1 , y 1 ) ( x 2 , y 2 ) (- 3,- 1) (2,- 1) Slope = y 2- y 1 x 2- x 1 =- 1- (- 1) 2- (- 3) = 5 = (4, 2 ) (- 5, 2 ) Slope = y 2- y 1 x 2- x 1 = 2- 2- 5- 4 =- 9 = 17. ( x 1 , y 1 ) ( x 2 , y 2 ) 18. ( x 1 , y 1 ) ( x 2 , y 2 ) (- 1,2) (- 1,- 2) Slope = y 2- y 1 x 2- x 1 =- 2- 2- 1- (- 1) =- 4 Slope is undefined. (2, 0 ) (2, 2) Slope = y 2- y 1 x 2- x 1 = 2- 2- 2 = 2 Slope is undefined. Section 2.4 Lines 239 19. 20. 21. 22. 23. 24. 25. 26. Chapter 2 Graphs 240 27. Slope = 4 ⇒ if x increases by 1, y increases by 4 original point 1,2 ( 29 Answers will vary. Three possible points are: x = 1 + 1 = 2 and y = 2 + 4 = 6 2,6 ( 29 x = 2 + 1 = 3 and y = 6 + 4 = 10 3,10 ( 29 x = 3 + 1 = 4 and y = 10 + 4 = 14 4,14 ( 29 28. Slope = 2 ⇒ if x increases by 1, y increases by 2 original point - 2,3 ( 29 Answers will vary. Three possible points are: x = - 2 + 1 = - 1 and y = 3 + 2 = 5- 1,5 ( 29 x = - 1 + 1 = 0 and y = 5 + 2 = 7 0,7 ( 29 x = + 1 = 1 and y = 7 + 2 = 9 1,9 ( 29 29. Slope = - 3 2 ⇒ if x increases by 2, y decreases by 3 original point 2,- 4 ( 29 Answers will vary. Three possible points are: x = 2 + 2 = 4 and y = - 4- 3 = - 7 4,- 7 ( 29 x = 4 + 2 = 6 and y = - 7- 3 = - 10 6,- 10 ( 29 x = 6 + 2 = 8 and y = - 10- 3 = - 13 8,- 13 ( 29 30. Slope = 4 3 ⇒ if x increases by 3, y increases by 4 original point - 3,2 ( 29 Answers will vary. Three possible points are: x = - 3 + 3 = 0 and y = 2 + 4 = 6 0,6 ( 29 x = + 3 = 3 and y = 6 + 4 = 10 3,10 ( 29 x = 3 + 3 = 6 and y = 10 + 4 = 14 6,14 ( 29 31. Slope = - 2 ⇒ if x increases by 1, y decreases by 2 original point - 2,- 3 ( 29 Answers will vary. Three possible points are: x = - 2 + 1 = - 1 and y = - 3- 2 = - 5- 1,- 5 ( 29 x = - 1 + 1 = 0 and y = - 5- 2 = - 7 0,- 7 ( 29 x = + 1 = 1 and y = - 7- 2 = -...
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This note was uploaded on 04/07/2008 for the course MAC 1105 taught by Professor Any during the Spring '08 term at FIU.

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2_4 - Chapter 2 237 Graphs 2.4 Lines 1 undefined 0...

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