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MS Algebra A-F-IF-7 – Ch. 5.6aGraph Using Slope-Intercept Form
Mr. Deyo
Graph Using Slope-Intercept Form
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.
Learning Target
Title: 5.6a Slope-Intercept Form Date:
Teacher Note: Graph paper helpful for this lesson.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg. 294-295 3) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
For use with pages xxx–xxxDaily Warm-Up Exercises
Find the slope of the line that passes
through (-5, 6) and (0, 8)Rewrite 5x + y = 8 so y is a function of x.
x y
For use with pages xxx–xxxDaily Warm-Up Exercises
525x=y – 8+
Find the slope of the line that passes
through (-5, 6) and (0, 8)Rewrite 5x + y = 8 so y is a function of x.
ANSWER
x y
0 8
-5 6
=
0 – (-5)
=58 – 6
= 2ANSWER
5x + y = 8-5x -5x
y = -5x + 8
1) Slope
2) Rise
3) Run
4) Slope-Intercept Form
5) Point-Slope Form
Vocabulary – Rate of Change
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
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
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
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
Notes: How To Get To Slope-Intercept Form
Ax + By = C-Ax -Ax
By = -Ax + C
B B B
y = (-A/B)x + C/B
y = mx + b
A = Coefficient of xB = Coefficient of yC = Constant
Solve
for y
Slope-Intercept Form of a Linear Equation
m = slopeb = y-intercept
Solve
for y
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
Problem(s) A Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equations.
SOLUTION
y = 5x - 3
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 = 12You have to rewrite the equation in slope-intercept form by solving for y.
3x - 3y = 12-3x -3x
-3y = -3x + 12-3 -3 -3
y = 1x - 4So, the slope (m) of the line is
1, and the y-intercept is -4.
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
Problem(s) B Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equations.
SOLUTION
y = 3x + 4
The equation is in the form
y = mx + b. So, the slope
(m) of the line is 3, and the
y-intercept is 4.
3x + y = 2You have to rewrite the equation in slope-intercept form by solving for y.
3x + y = 2-3x -3x
y = -3x + 2So, the slope (m) of the line is
-3, and the y-intercept is 2.
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
______________________________________________.
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.
Learning Target
Title: 5.6a Slope-Intercept Form Date:
Teacher Note: Graph paper helpful for this lesson.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg. 294-295 3) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Notes: How To Get To Slope-Intercept Form
Ax + By = C-Ax -Ax
By = -Ax + C
B B B
y = (-A/B)x + C/B
y = mx + b
A = Coefficient of xB = Coefficient of yC = Constant
Solve
for y
Slope-Intercept Form of a Linear Equation
m = slopeb = y-intercept
Solve
for y
Problem A Graph the function ( y = mx + b )
2x + y = 3
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
Problem A Graph the function ( y = mx + b )
2x + y = 3
x y
1 1
2 -1
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times2x + y = 3-2x -2x
y = -2x + 3
Step 1)
Step 2)
m = -2
b = 3 (0, 3)
Step 3)
(0, 3)
(1, 1)
(2, -1)
Problem B Graph the function ( y = mx + b )
y = -2x + 5
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
Problem B Graph the function ( y = mx + b )
y = -2x + 5
x y
1 3
2 1
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 timesAlready solved for y
y = -2x + 5
Step 1)
Step 2)
m = -2
b = 5 (0, 5)
Step 3)
(0, 5)
(1, 3)
(2, 1)
Guided Practice Graph the function ( y = mx + b )
3x - y = 1
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
Guided Practice Graph the function ( y = mx + b )
3x - y = 1
x y
1 2
2 5
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
3x - y = 1-3x -3x
- y = -3x + 1-1 -1 -1
y = 3x - 1
Step 1)
Step 2)
m = 3
b = -1 (0, -1)
Step 3)
(1, 2)
(0, -1)
(2, 5)
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
______________________________________________.
Guided Practice Graph the function ( y = mx + b )
y = 2x – 23
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
Guided Practice Graph the function ( y = mx + b )
y = 2x – 23
x y
3 0
6 2
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 timesy = 2x – 23
Already in slope-intercept form!
Step 1)
Step 2)
m = 2 3
b = -2 (0, -2)
Step 3)(3, 0)
(0, -2)
(6, 2)
1) Slope
2) Rise
3) Run
4) Slope-Intercept Form
5) Point-Slope Form
Vocabulary – Rate of Change
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
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
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
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
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.
Learning Target
Title: 5.6a Slope-Intercept Form Date:
Teacher Note: Graph paper helpful for this lesson.
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.6 Pg. 294-295 3) Section ______
TxtBk. Prob.#5-21 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Ticket OUT. Graph the function ( y = mx + b )
2x – 5y = 10
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
Ticket OUT. Graph the function ( y = mx + b )
2x – 5y = 102x – 5y = 10-2x = -2x
-5y = -2x +10-5 -5 -5
y = 2x -25
Step 1)
Step 2)
ANSWER
(0, -2)
(5, 0)
x y
-5 -4
5 0
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
m = 25
b = -2 (0, -2)
(-5, -4)
Step 3)