1. Mr. Deyo Write Linear Equations in Slope-Intercept Form
MS Algebra A-F-IF-7 – Ch. 6.1a Write Linear Equations in Slope-Intercept Form
Mr. Deyo
Write Linear Equations in
Slope-Intercept Form

2. Title: 6.1a Write Linear Equations in Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will write linear equations in slope-intercept form.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.1 Pg ) Section ______
TxtBk.Prob. #5,7,11,13,15,19,21 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 Find the slope of the line that passes through
For use with pages xxx–xxx
Find the slope of the line that passes through
(-1, -3) and (1, 5)
A landscape architect charges $75 for a consulting fee and $30 per hour. Write an equation that shows the cost C as a function of time T (in hours). x y

6. Daily Warm-Up Exercises Find the slope of the line that passes through
For use with pages xxx–xxx
Find the slope of the line that passes through
(-1, -3) and (1, 5)
A landscape architect charges $75 for a consulting fee and $30 per hour. Write an equation that shows the cost C as a function of time T (in hours). x y 1 5 -1 -3
1 –(-1)
=-2
5 – (-3)
= 8
ANSWER
ANSWER
C = 30T + 75 8 =
= 4 2

7. Vocabulary
Slope
y-intercept
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. Problem A
Use slope and y-intercept to write an equation
Write an equation of the line with a slope of 8 and a y-intercept of -7.
y = mx + b

11. Problem A
Use slope and y-intercept to write an equation
Write an equation of the line with a slope of 8 and a y-intercept of -7.
y = mx + b
y = (8)x + (-7)
y = 8x – 7
Write slope-intercept form.
Substitute 8 for m and -7 for b.
ANSWER

12. Problem B
Use slope and y-intercept to write an equation
Write an equation of the line with a slope of -2 and a y-intercept of 5.
y = mx + b

13. y = mx + b y = (-2)x + (5) y = -2x + 5
Problem B
Use slope and y-intercept to write an equation
Write an equation of the line with a slope of -2 and a y-intercept of 5.
y = mx + b
y = (-2)x + (5)
y = -2x + 5
Write slope-intercept form.
Substitute -2 for m and 5 for b.
ANSWER

14. Write an equation of the line shown.
Write an equation of a line from a graph
y = mx + b
Problem A
Write an equation of the line shown.

15. Write an equation of a line from a graph
Problem A
SOLUTION
Write an equation of the line shown.
The slope of the line is: -2 2 m = = – 5 5
The line crosses the y-axis at (0, 3). So, the y-intercept is b = 3.
Write slope-intercept form. mx = y + b x = y + 3 5 2 – 2
Substitute for m and 3 for b. – 5

16. Write an equation of the line shown.
Write an equation of a line from a graph
y = mx + b
Problem B
Write an equation of the line shown.

17. x = y + (-2) x = y - 2  3 3 2 3 m = 2 mx = y + b
Write an equation of a line from a graph
Problem B
SOLUTION
Write an equation of the line shown.
The slope of the line is: 3 m = 2
The line crosses the y-axis at (0, -2). So, the y-intercept is b = -2. mx = y + b x = y +
(-2) 2 3 x = y - 2 3 

18. 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

19. Write an equation of the line shown.
Write an equation of a line from a graph
y = mx + b
Guided Practice
Write an equation of the line shown.

20. Write an equation of a line from a graph
SOLUTION
Guided Practice
Write an equation of the line shown.
The slope of the line is: -3 m
= -3 = 1
The line crosses the y-axis at (0, 4). So, the y-intercept is b = 4. mx = y + b x = y + 4 -3

21. Title: 6.1a Write Linear Equations in Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will write linear equations in slope-intercept form.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

22. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.1 Pg ) Section ______
TxtBk.Prob. #5,7,11,13,15,19,21 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

23. Ticket OUT.
Find the value of m given that the line y = mx – 4 passes through the point (4, 2).
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

24. Ticket OUT.
Find the value of m given that the line y = mx – 4 passes through the point (4, 2).
ANSWER
y = mx – 4
2 = m(4) – 4
6 = 4m
4 = m 6
m = 2 3
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.