1. MS Algebra A-F-IF-7 – Ch. 5.6a Graph Using Slope-Intercept Form
Mr. Deyo
Graph Using Slope-Intercept Form

2. Title: 5.6a Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will apply the slope-intercept form and graph linear equations.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg ) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Daily Warm-Up Exercises
For use with pages xxx–xxx
Rewrite 5x + y = 8 so y is a function of x.
Find the slope of the line that passes through (-5, 6) and (0, 8) x y

6. Daily Warm-Up Exercises
For use with pages xxx–xxx
Rewrite 5x + y = 8 so y is a function of x.
Find the slope of the line that passes through (-5, 6) and (0, 8)
5x + y = 8
-5x -5x
y = -5x + 8 x y 8 -5 6
0 – (-5) =5
8 – 6
= 2
ANSWER
ANSWER 5x = y – 8 + 2 = 5

7. Vocabulary – Rate of Change
Slope
Rise
Run
Slope-Intercept Form
Point-Slope Form

8. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

9. Ax + By = C Solve for y Solve for y -Ax -Ax By = -Ax + C
How To Get To Slope-Intercept Form
Notes:
Ax + By = C
-Ax -Ax
By = -Ax + C
B B B
y = (-A/B)x + C/B
y = mx + b
A = Coefficient of x
B = Coefficient of y
C = Constant
Standard
Form
Solve for y
Solve for y
m = slope
b = y-intercept
Slope-Intercept Form of a Linear Equation

10. y = 5x - 3 3x - 3y = 12 Problem(s) A Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equations.
y = 5x - 3
3x - 3y = 12

11. y = 5x - 3 3x - 3y = 12 1, and the y-intercept is -4. 3x - 3y = 12
Problem(s) A
Identify slope and y-intercept
SOLUTION
Identify the slope and y-intercept of the line with the given equations.
y = 5x - 3
3x - 3y = 12
You have to rewrite the equation in slope-intercept form by solving for y.
The equation is in the form y = mx + b. So, the slope (m) of the line is 5, and the y-intercept is -3.
3x - 3y = 12
-3x -3x
-3y = -3x + 12
y = 1x - 4
So, the slope (m) of the line is
1, and the y-intercept is -4.

12. y = 3x + 4 3x + y = 2 Problem(s) B Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equations.
y = 3x + 4
3x + y = 2

13. y = 3x + 4 3x + y = 2 3x + y = 2 -3x -3x y = -3x + 2
Problem(s) B
Identify slope and y-intercept
SOLUTION
Identify the slope and y-intercept of the line with the given equations.
y = 3x + 4
3x + y = 2
The equation is in the form y = mx + b. So, the slope (m) of the line is 3, and the y-intercept is 4.
You have to rewrite the equation in slope-intercept form by solving for y.
3x + y = 2
-3x -3x
y = -3x + 2
So, the slope (m) of the line is
-3, and the y-intercept is 2.

14. Storm Check (Think, Write, Discuss, Report)
How do you verify that a given linear equation is in slope-intercept form? (2-3 sentences)
To verify that a given linear equation is in
slope-intercept form , I have to _________________
______________________________________________.
If the equation is not in slope-intercept form, I have to

15. Title: 5.6a Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will apply the slope-intercept form and graph linear equations.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

16. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg ) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

17. Ax + By = C Solve for y Solve for y -Ax -Ax By = -Ax + C
How To Get To Slope-Intercept Form
Notes:
Ax + By = C
-Ax -Ax
By = -Ax + C
B B B
y = (-A/B)x + C/B
y = mx + b
A = Coefficient of x
B = Coefficient of y
C = Constant
Standard
Form
Solve for y
Solve for y
m = slope
b = y-intercept
Slope-Intercept Form of a Linear Equation

18. Problem A Graph the function ( y = mx + b ) 2x + y = 3
Step 1) Solve for y
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you. x y

19. Problem A Graph the function ( y = mx + b )
2x + y = 3
Step 1) Solve for y
Step 1)
Step 2) Plot y-intercept
2x + y = 3
-2x x
y = -2x + 3
Step 3) Plot the slope
2 or 3 times
m = -2
(0, 3)
b = 3  (0, 3)
Step 2)
(1, 1)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
(2, -1)
Step 3) x y 1 2 -1

20. Problem B Graph the function ( y = mx + b ) y = -2x + 5
Step 1) Solve for y
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you. x y

21. y = -2x + 5 Problem B Graph the function ( y = mx + b ) y = -2x + 5
Step 1) Solve for y
Step 1)
Step 2) Plot y-intercept
Already solved for y
y = -2x + 5
Step 3) Plot the slope
2 or 3 times
m = -2
(0, 5)
(1, 3)
b = 5  (0, 5)
Step 2)
(2, 1)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
Step 3) x y 1 3 2

22. Guided Practice Graph the function ( y = mx + b ) 3x - y = 1
Step 1) Solve for y
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you. x y

23. 3x - y = 1 -3x -3x - y = -3x + 1 -1 -1 -1 y = 3x - 1
Guided Practice Graph the function ( y = mx + b )
3x - y = 1
Step 1) Solve for y
Step 1)
3x - y = 1
-3x x
- y = -3x + 1
y = 3x - 1
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
(2, 5)
m = 3
(1, 2)
b = -1  (0, -1)
Step 2)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
(0, -1)
Step 3) x y 1 2 5

24. Storm Check (Think, Write, Discuss, Report)
How do you verify that a given linear equation is in slope-intercept form? (2-3 sentences)
To verify that a given linear equation is in
slope-intercept form , I have to _________________
______________________________________________.
If the equation is not in slope-intercept form, I have to

25. 3 Guided Practice Graph the function ( y = mx + b ) y = 2x – 2 x y
Step 1) Solve for y
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you. x y

26. 3 3 y = 2x – 2 Guided Practice Graph the function ( y = mx + b )
Step 1) Solve for y
Step 1)
Step 2) Plot y-intercept
y = 2x – 2 3
Already in slope-intercept form!
Step 3) Plot the slope
2 or 3 times
m =
(6, 2)
b = -2  (0, -2)
Step 2)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
(3, 0)
Step 3) x y 3 6 2
(0, -2)

27. Vocabulary – Rate of Change
Slope
Rise
Run
Slope-Intercept Form
Point-Slope Form

28. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

29. Title: 5.6a Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will apply the slope-intercept form and graph linear equations.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Teacher Note: Graph paper helpful for this lesson.

30. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg ) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

31. Graph the function ( y = mx + b ) 2x – 5y = 10
Ticket OUT.
Step 1) Solve for y
Step 2) Plot y-intercept
Step 3) Plot the slope
2 or 3 times
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you. x y

32. 5 Graph the function ( y = mx + b ) 2x – 5y = 10 b = -2  (0, -2) x y
Ticket OUT.
ANSWER
Step 1) Solve for y
Step 2) Plot y-intercept
2x – 5y = 10
-2x = -2x
-5y = -2x +10
y = 2x -2 5
Step 1)
Step 3) Plot the slope
2 or 3 times
m = 2 5
(5, 0)
b = -2  (0, -2)
Step 2)
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
(0, -2)
Step 3) x y -5 -4 5
(-5, -4)