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

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 slopeintercept 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: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?

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 x y -5x -5x 0 8 y = -5x + 8 0 (-5) -5 6 8 6 ANSWER =5 ANSWER = 2 y = 5x + 8 = 2 5

Vocabulary Rate of Change 1) Slope 2) Rise 3) Run 4) Slope-Intercept Form 5) Point-Slope Form

Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork 1. 2. 3. 4. 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 Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

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

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 SOLUTION Identify the slope and y-intercept of the line with the given equations. 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 = 12 You 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 - 4 So, 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 SOLUTION Identify the slope and y-intercept of the line with the given equations. 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 = 2 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.

Problem A Graph the function ( y = mx + b ) 2x + y = 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y

Problem A Graph the function ( y = mx + b ) Step 1) 2x + y = 3-2x -2x 2x + y = 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times m = -2 Step 2) y = -2x + 3 b = 3 (0, 3) (0, 3) (1, 1) Step 3) x y 1 1 2-1 (2, -1)

Problem B Graph the function ( y = mx + b ) y = -2x + 5 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y

Problem B Graph the function ( y = mx + b ) Step 1) y = -2x + 5 Already solved for y y = -2x + 5 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times m = -2 (0, 5) Step 2) b = 5 (0, 5) (1, 3) (2, 1) Step 3) x y 1 3 2 1

Guided Practice Graph the function ( y = mx + b ) 3x - y = 1 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y

Guided Practice Graph the function ( y = mx + b ) Step 1) m = 3 Step 2) Step 3) 3x - y = 1-3x -3x - y = -3x + 1 x -1-1 -1 y = 3x - 1 b = -1 (0, -1) y 1 2 2 5 3x - y = 1 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times (1, 2) (0, -1) (2, 5)

Guided Practice Graph the function ( y = mx + b ) y = 2x 2 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y

Guided Practice Graph the function ( y = mx + b ) Step 1) y = 2x 2 3 Already in slope-intercept form! Step 2) Step 3) m = 2 3 b = -2 (0, -2) x y 3 0 6 2 y = 2x 2 3 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times (0, -2) (6, 2) (3, 0)

Vocabulary Rate of Change 1) Slope 2) Rise 3) Run 4) Slope-Intercept Form 5) Point-Slope Form

Graph the function ( y = mx + b ) Ticket OUT. 2x 5y = 10 Step 1) Step 2) Step 3) Solve for y Plot y-intercept Plot the slope 2 or 3 times x y

Graph the function ( y = mx + b ) Step 1) m = 2 5 Step 2) Step 3) 2x 5y = 10 2x 5y = 10-2x = -2x -5y = -2x +10-5 -5-5 x y = 2x -2 5 b = -2 (0, -2) y -5-4 5 0 (-5, -4) (0, -2) Step 1) Step 2) Step 3) Ticket OUT. ANSWER Solve for y Plot y-intercept Plot the slope 2 or 3 times (5, 0)