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

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.

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 Contents Date Description Date Due

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

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

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

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

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

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

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

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 -3 -3 -3 y = 1x - 4 So, the slope (m) of the line is 1, and the y-intercept is -4.

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

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.

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

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.

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 Contents Date Description Date Due

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

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

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 -2x 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

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

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

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

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 -3x - y = -3x + 1 -1 -1 -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

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

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

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 = 2 3 (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)

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

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

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.

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 Contents Date Description Date Due

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

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 -5 -5 -5 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)