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Notes 51.notebook 1 December 03, 2013 5-1 Slope Objective: Calculate the slope of a line; draw a line through a point with a given slope.

5-1 Slope Objective: Calculate the slope of a line; draw a

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Notes 5­1.notebook

1

December 03, 2013

5-1 Slope

Objective: Calculate the slope of a line; draw a line through a point with a given slope.

Notes 5­1.notebook

2

December 03, 2013

http://goanimate.com/videos/0fPM_A_Lk2iw

http://www.youtube.com/watch?v=ZzU8x5cMR­w

Notes 5­1.notebook

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December 03, 2013

Real life examples of slope:pitch of a roof

slope of a hill

drop of a river

railroad on a climbing hill

elevation of a gun barrel

looking up at the moon in the sky

Notes 5­1.notebook

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December 03, 2013

Slope or Pitch of a roof

­­ the calculation involved in designing the slope or formula used is rise over run

­­ a 6/12 slope means that the roof rises 6 inches for every horizontal foot (12 inches)

Notes 5­1.notebook

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December 03, 2013

Grade of a road

­­ 6 % grade over the next 3 miles means that the road climbs up 6 units for every 100 units or there is a rise of 6 for every run of 100.

Notes 5­1.notebook

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December 03, 2013

Slope = vertical change (rise)horizontal change (run)

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December 03, 2013

Find the slope of each line.

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December 03, 2013

Find the slope of each line.

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December 03, 2013

Slope = vertical changehorizontal change

change in ychange in x=

Slope = y2 - y1x2 - x1

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December 03, 2013

You can use any two points on a line to find its slope.

Find the slope of a line through A( ­ 2, 1) and B (5, 7).

Notes 5­1.notebook

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December 03, 2013

Find the slope of the line through

C (4, 0) and D ( ­1, 5).

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December 03, 2013

Draw a line through the

point (1, 2) with

a slope of ­ ½.0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

25°

Notes 5­1.notebook

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December 03, 2013

Draw a line through the

point (1, 2) with

a slope of 3.

0

1

2

3

4

5

6

7

8

9

10

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12

13

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15

0

1

2

3

4

5

69°

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December 03, 2013

HW # 44

p. 217 # 3 ­ 16,18­21, 25 ­ 27

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December 03, 2013