Chapter 5 Student Success Sheets

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Chapter 5 Student Success Sheets

  1. 1. Chapter 5 Student Success Sheet (SSS) Graphing and Writing Equations of Lines DeQuincy High School Algebra 1 Name: Reminder: All assignments must be clearly labeled and stored in your SSS folder. Hour: Chapter ___, Concept ____, Title of Assignment Do you need help? “Success comes from Support is available! knowing that you did your best to become the bestSign up for RTI to receive additional that you are capable of becoming.”assistance or visit Mr. Clark’s John WoodenBlackboard site for tutorial videos.Concept # What Will I Be Learning… Mandatory Practice 1 Graphing with a table by plugging in points. None 2 Verifying a point lies on a line or is a solution to the equation. None Textbook page 275 #14-24 3 Identifying parts of a line (slope and y-intercept). Workbook page 36 #1-7 Writing equations and graphing lines given a point and the Textbook page 284 #11-20 4 Workbook page 37 #1-6 slope. Textbook page 284 #21-29 5 Writing equations and graphing lines given two points. Workbook page 37 #7-15 6 Graphing lines given slope-intercept form. None 7 Finding x- and y-intercepts of a line in standard form. None 8 Graphing lines given standard form. Workbook page 36 #8-10 9 Graphing horizontal and vertical lines. None Converting from slope-intercept to standard form and vice 10 None versa.Chapter 5 SSS 1
  2. 2. #1 Graphing with a table by plugging in points.A ______________ always has a _______________ _______________ of _______________, or _______________.This means that all of the points on the line can connect with a _______________ ruler.One way we can graph is by making an X-Y Table. This is also known as an _______________ - _______________table or a _____ -_______________. 1. 2. x Plug In y Ordered Pair x Plug In y Ordered Pair -2 -2 -1 -1 0 0 1 1 2 2Chapter 5 SSS 2
  3. 3. 3. 4. x Plug In y Ordered Pair x Plug In y Ordered Pair -2 -2 -1 -1 0 0 1 1 2 2 5. 6. x Plug In y Ordered Pair x Plug In y Ordered Pair -2 -2 -1 -1 0 0 1 1 2 2Chapter 5 SSS 3
  4. 4. #2 Verifying a point lies on a line or is a solution to the equation.Example 1:Determine whether (3, -5) lies on the graph ofy = -3x +4. If you plug in an _______________  ______________ and you end up(3, -5) is a solution. with a __________ statement, thenExample 2:Determine whether (8, 4) lies on the graph of the given point __________ _____3y = 2x – 1. _____ __________ if you were to graph it.(8, 4) is not a solution. 7. Which point lies on the line 8. represented by the equation 2x + 3y = -6? a. (2, -2) b. (-1, 2) c. (0, 2) d. (-3, 0) 9. 10. 11. 12. 13. 14. 15. 16.Chapter 5 SSS 4
  5. 5. #3 Identifying parts of a line (slope and y-intercept). Slope: Rise over Run (m) Y-intercept: Where the line crosses the y-axis (b) Y-intercepts are always written as an ordered pair: (0, b). 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. Y-intercept (b) 28. Y-intercept (b) Slope (m) Slope (m) Equation EquationChapter 5 SSS 5
  6. 6. 29. Y-intercept (b) 30. Y-intercept (b) Slope (m) Slope (m) Equation Equation 31. Y-intercept (b) 32. Y-intercept (b) Slope (m) Slope (m) Equation Equation 33. Y-intercept (b) 34. Y-intercept (b) Slope Slope (m) Equation EquationSlope-intercept form is: y = ____x + b, where m = _______________ and (0, b) is the _______________.Remember, there are 4 types of lines:Uphill _______________, Downhill _______________, Horizontal _______________, and Vertical _____________.Chapter 5 SSS 6
  7. 7. #4 Writing equations and graphing lines given a point and the slope.Use y = mx + b every time you write the equation of a Steps:line. Remember, m is the slope and b is the y-intercept.  First, identify m=____, x=____, and y=____.If you are given a point (x, y) and the slope, just plug in  Second, write out y = mx + b by plugging in thethe numbers and solve for b and say BYE! numbers, ____ = ____(____) + b.  Third, solve for b (Do/Undo).  Lastly, plug in m and b into the equation as final answer. 35. 36.  Identify m=_____, x=_____, y=_____.  Identify m=_____, x=_____, y=_____.  Plug in _____=_____(_____) + b.  Plug in _____=_____(_____) + b.  Solve for b:  Solve for b:  Plug in m and b, y = _____x + _____.  Plug in m and b, y = _____x + _____. We can graph this equation too: We can graph this equation too:Chapter 5 SSS 7
  8. 8. 37. 38. 39. 40.Chapter 5 SSS 8
  9. 9. #5 Writing equations and graphing lines given two points.Algebraically: Graphically: Use the slope formula to find m.  Plot the two points and count rise over run to Identify m=____, x=____, y=____ using either of the calculate the slope. points to pick x and y.  Connect the two points together using a ruler to find Write out y = mx + b by plugging in the numbers, the y-intercept. ____=____(____) + b.  Write the equation by plugging in rise over run as m Solve for b (Do/Undo). and y-intercept as b. **If the y-intercept does not Plug in m and b into the equation as final answer. appear to be a whole number, solve the problem algebraically. 41. 42.  Use the slope formula to find m:  Identify m=_____, x=_____, y=_____.  Plug in _____=_____(_____) + b.  Solve for b:  Plug in m and b into equation as final answer: y = _____x + _____.  Rise = _____, Run = _____, Slope = ________  Y-intercept = _____  Equation: _______________________________ 43. 44.Chapter 5 SSS 9
  10. 10. 45. 46. 47. 48. 49. 50.Chapter 5 SSS 10
  11. 11. Slope-intercept form Slope 2nd point (4, -4) (-1,-1) (1, -5) (2, -3) (3, -4) (2, 0)Chapter 5 SSS 11
  12. 12. #6 Graphing lines given slope-intercept form. Identify the _______________ and the _______________. Plot the y-intercept on the _______________. Identify the _______________ and the _______________. Count _______________ for the rise and ________________ for the run. Connect the two points with a ruler. Put ________________ on both ends.Example: Graph 51. Slope: 52. Slope: Rise: Rise: Run: Run: Y-intercept: Y-intercept: What type of What type of line? line?Chapter 5 SSS 12
  13. 13. 53. Slope: 54. Slope: Rise: Rise: Run: Run: Y-intercept: Y-intercept: What type of What type of line? line? 55. Slope: 56. Slope: Rise: Rise: Run: Run: Y-intercept: Y-intercept: What type of What type of line? line? 57. Slope: 58. Slope: Rise: Rise: Run: Run: Y-intercept: Y-intercept: What type of What type of line? line?Chapter 5 SSS 13
  14. 14. #7 Finding x- and y-intercepts of a line in standard form.Standard Form of a Linear EquationThe standard form of a linear equation is , where A, B, and C are real numbers and A and B are notboth zero.Standard form is when _____ and _____ are on the __________ __________. To find the x-intercept, cover up the_____ term and solve for x. It will be an ordered pair (_____, 0). To find the y-intercept, cover up the _____ termand solve for y. It will be an ordered pair (0, _____). 59. 60. x-intercept: x-intercept: y-intercept: y-intercept: 61. 62. x-intercept: x-intercept: y-intercept: y-intercept: 63. 64. x-intercept: x-intercept: y-intercept: y-intercept: 65. 66. x-intercept: x-intercept: y-intercept: y-intercept: 67. 68. x-intercept: x-intercept: y-intercept: y-intercept: 69. 70. x-intercept: x-intercept: y-intercept: y-intercept: 71. 72. x-intercept: x-intercept: y-intercept: y-intercept: 73. 74. x-intercept: x-intercept: y-intercept: y-intercept:Chapter 5 SSS 14
  15. 15. #8 Graphing lines given standard form.In standard form, x and y are on the same side. Use your hands to carefully cover the x term to find the y-intercept;cover the y term to find the x-intercept. Plot the intercepts separately. Connect the dots and you will see the line. 75. X-intercept: 76. X-intercept: Y-intercept: Y-intercept: Slope: Slope: What type of What type of line? line? 77. X-intercept: 78. X-intercept: Y-intercept: Y-intercept: Slope: Slope: What type of What type of line? line? 79. X-intercept: 80. X-intercept: Y-intercept: Y-intercept: Slope: Slope: What type of What type of line? line?Chapter 5 SSS 15
  16. 16. 81. X-intercept: 82. X-intercept: Y-intercept: Y-intercept: Slope: Slope: What type of What type of line? line?Chapter 5 SSS 16
  17. 17. #9 Graphing horizontal and vertical lines.A horizontal line has a slope of _______________. A vertical line has a slope of _______________.The equation will always be ________________. The equation will always be _______________.Remember: ____________________________________ Remember: ____________________________________ 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. #10 Converting from slope-intercept to standard form and vice versa. 93. 94. 95. 96. 97. 98. 99. 100.Chapter 5 SSS 17

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