# Class Project: Points & Lines Instructions: Instructions:

```Class Project: Points &amp; Lines
No Work ⇔ No Points
Use Pencil Only ⇔ Be Neat &amp; 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) &amp; B(5, 6)
5. A(−6, 0) &amp; B(0, 4)
2. A(−5, −2) &amp; B(1, −6)
6. A(−4, 4) &amp; B(0, 0)
3. A(4, 3) &amp; B(4, −3)
7. A(6, 0) &amp; B(0, −4)
4. A(−2, −4) &amp; B(6, −4)
8. A(4, −4) &amp; 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 &amp; y = −3
12. x = −2 &amp; x = 3
10. x = −2 &amp; y = 4
13. y = 4 &amp; y = −1
11. x = 5 &amp; y = 2
14. x = 0 &amp; y = 0
Page 1 of 4
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 &amp; x − y = 2
19. x − 3y = 6 &amp; x + 2y = −6
16. 2x − 3y = −12 &amp; 3x + 4y = −12
20. 2x + y = 4 &amp; 2x + y = −6
17. x − 2y = 4 &amp; 4x + y = −4
21. 4x − 3y = 12 &amp; 3x + 4y = 12
18. 5x + 6y = 30 &amp; 6x − 5y = −30
22. 5x − 2y = 10 &amp; 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 &amp; y = 2x − 2
29. y = x &amp; y = x + 3
24. y = −3x + 1 &amp; y = −3x − 4
30. y = −x &amp; y = −x − 4
25. y = 4x &amp; y =
−1
x
4
26. y = 23 x − 2 &amp; y =
4
3
31. y = x − 2 &amp; y = x + 3
3
4
−3
x
2
+3
32. y =
27. y = −2x &amp; y = 12 x + 2
28. y = 53 x − 4 &amp; y =
Page 2 of 4
−5
x
3
+6
−2
−5
x+2 &amp; y =
x+5
5
2
1
33. y = x + 2 &amp; y = 2x − 2
2
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
Instructions:
• Graph both lines in the same coordinate system using any method that you
think it works best.
52. y = 2 &amp; 2x + y = 2
59. y = 3x &amp; x = 4
53. x = −3 &amp; y = 3x + 1
60. y = 2x − 3 &amp; y = −2x + 3
54. x + y = 5 &amp; x − y = 5
61. y =
55. y = 34 x + 2 &amp; y =
−4
x
3
−1
x
4
+ 4 &amp; y = 4x − 1
−1
62. y = 4 &amp; y = 2x − 3
56. y = x &amp; y = −x
63. y = −3 &amp; x = 4
57. y =
−3
x
5
+4 &amp; y =
−3
x
5
58. y = −4 &amp; y = −x + 3
Page 4 of 4
−1
1
64. y = −3x &amp; y = x
3