# finding slope or the y-intercept from linear slope or the y-intercept from linear equations in...

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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?

• 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

x y

3 -1

0 -5

• Problem B

Write an equation of the line shown.

Write an equation of a

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 +

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?

• 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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