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Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of...

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Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 SLOPE SLOPE = vertical change horizontal change rise run = Slope is the rate of change SLOPE = y 2 y 1 x 2 x 1 Y X =
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Page 1: Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 Find the slope the line that goes through

Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012

SLOPE

SLOPE = vertical changehorizontal change

riserun=

Slope is the rate of change

SLOPE = y2 ­ y1x2 ­ x1

YX

=

Page 2: Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 Find the slope the line that goes through

Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012

Find the slope the line that goes through these points:

SLOPE = vertical changehorizontal change

riserun=

a.  (­1, 1) (4, 3) b.  (­1, 5) (4, 2)

Method 1: Graphing

Find the slope the line that goes through these points:

SLOPE = vertical changehorizontal change

riserun=

a.  (­1, 1) (4, 3) b.  (­1, 5) (4, 2)

Method 1: Graphing

Page 3: Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 Find the slope the line that goes through

Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012

Find the slope the line that goes through these points:

a.  (­1, 1) (4, 3) b.  (­1, 5) (4, 2)

Method 2: Algebra

SLOPE = y2 ­ y1x2 ­ x1

YX

=

Find the slope the line that goes through these points:

a.  (­1, 1) (4, 3) b.  (­1, 5) (4, 2)

Method 2: Algebra

SLOPE = y2 ­ y1x2 ­ x1

YX

=

Page 4: Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 Find the slope the line that goes through

Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012

Find the slope of each line using  both methods:

a. (­2, 1) (3, 4) b. (­3, 2) (3, 1)

Horizontal Line Vertical Line

riserun

riserun= =

Page 5: Lesson 6.1 Rate of Change and Slope.notebook 30, 2013/High School Cl… · Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012 Find the slope the line that goes through

Lesson 6.1 Rate of Change and Slope.notebook November 28, 2012

What are the slopes of these lines??


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