Chapter 5 Student Success Sheets

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
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assistance or visit Mr. Clark’s John Wooden
Blackboard 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

#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. 4.
-2 -2
-1 -1
0 0
1 1
2 2

5. 6.
-2 -2
-1 -1
0 0
1 1
2 2

Chapter 5 SSS 3

#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

#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


Slope (m) Slope (m)

Equation Equation


Slope (m) Slope (m)

Equation Equation


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

#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

37. 38.

39. 40.

Chapter 5 SSS 8

#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

45. 46.

47. 48.

49. 50.

Chapter 5 SSS 10

Slope-intercept form

Slope

2nd point

(4, -4) (-1,-1)
(1, -5)
(2, -3)
(3, -4)
(2, 0)

Chapter 5 SSS 11

#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


Rise: Rise:

Run: Run:


line? line?


Rise: Rise:

Run: Run:


line? line?


Rise: Rise:

Run: Run:


line? line?

Chapter 5 SSS 13

#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.

63. 64.

65. 66.

67. 68.

69. 70.

71. 72.

73. 74.

Chapter 5 SSS 14

#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:


Slope: Slope:

line? line?



Slope: Slope:

line? line?



Slope: Slope:

line? line?

Chapter 5 SSS 15



Slope: Slope:

line? line?

Chapter 5 SSS 16

#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

Chapter 5 Student Success Sheets

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Chapter 5 Student Success Sheets