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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.1 Pg. 325-326 3) 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

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 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

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

Vocabulary Slope y-intercept 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

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

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

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 = 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

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.

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

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.

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 

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

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.

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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.1 Pg. 325-326 3) 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

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.

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.