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  • MS Algebra A-F-IF-7 Ch. 6.1bFinding Slope or the y-intercept From Linear

    Equations in Slope-Intercept FormMr. Deyo

    Finding Slope or the y-intercept from the

    Slope-Intercept Form

  • By the end of the period, I will find the slope or y-intercept from linear equations in slope-intercept form as well as write equations given two or more points.

    I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

    Learning Target

    Title: 6.1b Find Slope or y-intercept from Slope-Intercept Form Date:

  • Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

    2) Section 6.1 Pg. 326 3) Section ______

    TxtBk.Prob. #25,26,29,31,33,39 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?

  • 1) Slope

    2) y-intercept

    3) Slope-Intercept Form

    4) Point-Slope Form

    Vocabulary

  • 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.

  • y = mx + b

    Notes: How To Get To Slope-Intercept Form

    Slope-Intercept Form of a Linear Equation

    m = slopeb = y-intercept

    Step 1) Make a table

    Use the two points to calculate SLOPE (m)

    x y

    X1 Y1X2 Y2

    Step 2) Plug m and one point into y = mx + bSolve for b

    (Y1) = m(X1) + b

    Step 3) Write general formula with m and b

    m = Y2 Y1X2 X1

  • Problem A

    Write an equation of the line shown.

    Write an equation of a

    line given two points

    x y

  • Problem A

    Write an equation of the line shown.

    Write an equation of a

    line given two points

    STEP 1 Calculate the slope.

    my2 y1

    x2 x1=

    4

    3=

    3 0

    1 ( )5=

    mx b+=y Write slope-intercept form.

    Substitute for m and -5 for b.3

    4

    STEP 2

    Write an equation of the line. The line crosses the y-axis at (0, -5). So, the y-intercept is b = -5.

    5=y 34

    x

    ANSWER

    x y

    3 -1

    0 -5

  • Problem B

    Write an equation of the line shown.

    Write an equation of a

    line given two pointsANSWER

    x y

  • Problem B

    Write an equation of the line shown.

    Write an equation of a

    line given two points

    STEP 1 Calculate the slope.

    my2 y1

    x2 x1=

    2

    -4=

    0 4

    1 ( )1=

    mx b+=y

    STEP 2

    Write an equation of the line. The line crosses the y-axis at (0, 1). So, the y-intercept is b = 1.

    1=y 2-1

    x +

    ANSWER

    x y

    0 1

    4 -1

    =1

    -2

  • Storm Check (Think, Write, Discuss, Report) If you are given two points, how can you create a

    linear equation that is in slope-intercept form? (2-3 sentences)

    When given two points, I can create a linear

    equation in slope-intercept form by _______________

    _______________________________________________

    ______________________________________________

    ______________________________________________.

  • Problem AFind the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    (-6, -9)y = 2x + b3

  • Problem AFind the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    Substitute the coordinates of the given point into the equation and solve for b.

    mx b+=y

    SOLUTION

    (-6, -9)y = 2x + b3

    -9 = 2(-6) + b3 1

    -9 = -4 + b

    -5 = b

    2(-6) = -12

    -12/3 = -4

  • Problem BFind the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    (3, -2)y = mx + 1

  • Problem BFind the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    Substitute the coordinates of the given point into the equation and solve for m.

    mx 1+=y

    1+=2 ( )3m

    =3 3m

    =1 m

    SOLUTION

    (3, -2)y = mx + 1

    Write original equation.

    Substitute 3 for x and -2 for y.

    Subtract 1 from each side.

    Divide each side by 3.

  • By the end of the period, I will find the slope or y-intercept from linear equations in slope-intercept form as well as write equations given two or more points.

    I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

    Learning Target

    Title: 6.1b Find Slope or y-intercept from Slope-Intercept Form Date:

  • Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

    2) Section 6.1 Pg. 326 3) Section ______

    TxtBk.Prob. #25,26,29,31,33,39 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

    Table of ContentsDate Description Date Due

  • Ticket OUT. Find the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    (-1, -4)y = 2x + b

  • Ticket OUT. Find the slope or y-intercept given a point

    Find the value of m or b if the given line passes through the given point.

    Substitute the coordinates of the given point into the equation and solve for b.

    mx b+=y

    SOLUTION

    (-1, -4)y = 2x + b

    -4 = 2(-1) + b

    -4 = -2 + b

    -2 = b

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