Is 35 a solution to y 2x 1 2 Is 41 a solution to y 3x 11 3 Is 5 4 a solution to

Is 35 a solution to y 2x 1 2 is 41 a solution to y 3x

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1. Is (3,5)a solution to y = 2x − 1? 2. Is (4,1)a solution to y = 3x − 11? 3. Is (5, −4)a solution to y = −2x + 3? 4. Is (−3, −2)a solution to y = −3x + 12? 5. Is (−2,3)a solution to y = 2x + 7? 6. Is (−3,10)a solution to y = −3x + 1? 7. Is (−2,5)a solution to 3x + 2y = 9? 8. Is (7, −6)a solution to 2x − 5y = 20? 9. y = −2x + 3 10. y = 1 3 x − 2 11. y = − 1 3 x + 2 12. y = 3x − 2 13. y = 1 4 x + 2 14. y = −3x + 4 Graph: 15. x = 3 16. y = 5 17. y = −2
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5.2 Graphing Linear Equations page 192 By Will Tenney 18. x = −3 19. y = −4 20. x = 2 Find the x-intercept and y-intercept. Use the intercepts to graph each of the following: 21. 3x − 2y = 6 22. 5x + 2y = −10 23. 2x − 4y = −8 24. −5x + 3y = −15 25. −2x + 3y = 12 26. 4x − 3y = −12 27. y = −3x + 6 28. y = 1 2 x − 2 29. y = − 1 3 x + 6 30. y = 2x − 4 Find the slope of the line containing the two points: 31. (3,2) and (1, −6) 32. (2,1) and (−1, −5) 33. (−3,5) and (0, −4) 34. (−4,5) and (2,3)
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5.2 Graphing Linear Equations page 193 By Will Tenney 35. (4,3) and (−2,6) 36. (−5, −3) and (−2,9) 37. (3,4) and (−2,4) 38. (2, −5) and (3, −5) 39. (4,7) and (4,2) 40. (3,5) and (3,2) Put the equation in ࠵? = ࠵?࠵? + ࠵? form if it is not already and then graph by using the slope and the y-intercept. 41. y = 1 2 x − 3 42. y = 1 3 x + 2 43. y = −2x + 3 44. y = −3x + 5 45. y = − 1 3 x + 2 46. y = − 1 2 x + 3 47. y = 3x − 2 48. y = 5x − 4 49. 3x − 6y = 12 50. 3x − 2࠵? = 4 51. 2x + 3y = 3 52. 2x − 5y = 10
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5.3 Solving Systems of Linear Equations page 194 By Will Tenney A system of linear equations is made up of two equations whose graphs are lines. For instance, they may have the form . A point is a solution to the system of equations if it is a solution to both equations. Examples 1. Is (1,2) a solution to ? 1. Solve by graphing 2. Solve by substitution method 3. Solve by addition method Remember, graphs are pictures of the solutions. Each point on a graph is a solution to the equation. To solve by graphing: 1. Graph both equations on the same set of axes. 2. Where the two graphs cross (intersect) there is a solution to the system of equations. 2x + 3y = 5 5x 4y = 3 2x + 3y = 8 5x 4y = 3
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5.3 Solving Systems of Linear Equations page 195 By Will Tenney Examples: 2. Solve by graphing: There are several ways to graph each line. Here we are graphing by finding the x- intercept and the y-intercept. 3x y = 3 2x + y = 2 3x y = 3 x-intercept(let y=0) ² ³ 0 , 1 1 2 2 2 2 or x x y x ´ y-intercept(let x=0) ² ³ ² ³ 2 , 0 2 2 2 0 2 or y y y ´ x-intercept(let y=0) ² ³ 0 , 1 1 3 3 3 0 3 or x x x ± y-intercept(let x=0) ² ³ ² ³ 3 , 0 3 3 3 0 3 ± ± ± ± or y y y 2x + y = 2 The solution is the point (1,0) where the graphs intersect.
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5.3 Solving Systems of Linear Equations page 196 By Will Tenney 3. Solve by graphing:
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