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
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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. #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 2
Chapter 5 SSS 2

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 2
Chapter 5 SSS 3

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 of
y = -3x +4.
If you plug in an _______________

______________ and you end up
(3, -5) is a solution. with a __________ statement, then
Example 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. #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 Equation
Chapter 5 SSS 5

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 Equation
Slope-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. #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 the
the 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. 37. 38.
39. 40.
Chapter 5 SSS 8

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. 45. 46.
47. 48.
49. 50.
Chapter 5 SSS 10

11. Slope-intercept form
Slope
2nd point
(4, -4) (-1,-1)
(1, -5)
(2, -3)
(3, -4)
(2, 0)
Chapter 5 SSS 11

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. 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. #7 Finding x- and y-intercepts of a line in standard form.
Standard Form of a Linear Equation
The standard form of a linear equation is , where A, B, and C are real numbers and A and B are not
both 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 _____ term
and 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. #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. 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. #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