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Class Project: Points & Lines No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized Instructions: You need to read the instructions provided online and follow them in order to get full credit for this assignment. Instructions: • Plot both points A and B. • Draw the line segment AB • Find and plot the midpoint M of the line segment AB. • Find the distance d between the points A and B. • Find the slope of the line AB. 1. A(−3, 2) & B(5, 6) 5. A(−6, 0) & B(0, 4) 2. A(−5, −2) & B(1, −6) 6. A(−4, 4) & B(0, 0) 3. A(4, 3) & B(4, −3) 7. A(6, 0) & B(0, −4) 4. A(−2, −4) & B(6, −4) 8. A(4, −4) & B(−8, 1) Instructions: • Graph both lines in the same coordinate system. • Clearly label and mark their intersection points, if there is any. 9. x = 4 & y = −3 12. x = −2 & x = 3 10. x = −2 & y = 4 13. y = 4 & y = −1 11. x = 5 & y = 2 14. x = 0 & y = 0 Page 1 of 4 Prepared By R. Faradineh Instructions: • Make a table as shown in class to find the intercepts. • Graph both lines in the same coordinate system using the intercepts method. • Clearly label all intercepts on the graph. 15. x + y = 4 & x − y = 2 19. x − 3y = 6 & x + 2y = −6 16. 2x − 3y = −12 & 3x + 4y = −12 20. 2x + y = 4 & 2x + y = −6 17. x − 2y = 4 & 4x + y = −4 21. 4x − 3y = 12 & 3x + 4y = 12 18. 5x + 6y = 30 & 6x − 5y = −30 22. 5x − 2y = 10 & 2x + 5y = 10 Instructions: • Identify slope and y-intercept for each line. • Graph both lines in the same coordinate system using slope and y-intercept. • Write down if lines are parallel, perpendicular, or neither. 23. y = 2x + 4 & y = 2x − 2 29. y = x & y = x + 3 24. y = −3x + 1 & y = −3x − 4 30. y = −x & y = −x − 4 25. y = 4x & y = −1 x 4 26. y = 23 x − 2 & y = 4 3 31. y = x − 2 & y = x + 3 3 4 −3 x 2 +3 32. y = 27. y = −2x & y = 12 x + 2 28. y = 53 x − 4 & y = Page 2 of 4 −5 x 3 +6 −2 −5 x+2 & y = x+5 5 2 1 33. y = x + 2 & y = 2x − 2 2 Prepared By R. Faradineh Instructions: • Identify slope and one point for each line. • Graph each line using slope and one point. • Write down if the line is increasing, or decreasing. 34. y − 1 = 2(x − 2) 35. y + 2 = 2(x + 3) 2 36. y − 3 = (x − 1) 3 37. y + 4 = −3 (x − 2) 2 4 38. y + 5 = (x + 1) 5 39. y = −2 (x + 3) 3 40. y − 4 = −5 x 2 4 41. y = x 5 Instructions: • Isolate the y variable first, and write your answer as y = mx + b as shown in class. • Identify slope and y–intercept. • Graph using the y–intercept and slope. 42. x + y = 2 47. 2x − y = −4 43. x + 2y = 4 48. x − 5y = 10 44. x − 2y = 6 49. x + y = 0 45. 3x + 4y = −8 50. x − y = 0 46. 2x − 3y = −9 51. x − y = 2 Page 3 of 4 Prepared By R. Faradineh Instructions: • Graph both lines in the same coordinate system using any method that you think it works best. 52. y = 2 & 2x + y = 2 59. y = 3x & x = 4 53. x = −3 & y = 3x + 1 60. y = 2x − 3 & y = −2x + 3 54. x + y = 5 & x − y = 5 61. y = 55. y = 34 x + 2 & y = −4 x 3 −1 x 4 + 4 & y = 4x − 1 −1 62. y = 4 & y = 2x − 3 56. y = x & y = −x 63. y = −3 & x = 4 57. y = −3 x 5 +4 & y = −3 x 5 58. y = −4 & y = −x + 3 Page 4 of 4 −1 1 64. y = −3x & y = x 3 Prepared By R. Faradineh