# 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?

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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