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3.4 S KM & PP 1 Equations of Lines

3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

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Page 1: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 1

Equations of Lines

Page 2: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 2

Linear Equations

CByAx

bmxy

)xx(myy 11

Page 3: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 3

What’s my line?

bmxy

)xx(myy 11

3

2m ),(P 15

Clues!

)x()(y 53

21

Page 4: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 4

Look Closely!

bmxy

)xx(myy 11

4

3m ),(P 50

Aha!

54

3

xy

Page 5: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 5

Where’s m ?

12

12

xxyy

m

)xx(myy 11

),(P 861

Uh oh!

),(P 742

)( 64

87

2

1

))(x(y 62

18

Page 6: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 6

Look !

),(P 1731 ),(P 1742

17y

Page 7: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 7

I bet I can’t fool you !

),(P 1731 ),(P 032

3x

Page 8: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 8

A Chemistry Problem?

In the Fahrenheit system, water freezes at 32oF

and boils at 212oF.In the Celsius system, water freezes at 0oC and boils at 100oC.

Using (F, C) , (32o , 0o), and (212o, 100o)

determine a formula to calculate C if F is known!

Page 9: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 9

A Chemistry Problem - clues?

(F, C) (32o , 0o) (212o, 100o)

)xx(myy 11

)FF(mCC 11

9

5

180

100

32212

0100

m

Page 10: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 10

A Chemistry Problem - clues?

(F, C) (32o , 0o) (212o, 100o)

)FF(mCC 11

(F1, C1)

)F(C 329

50

9

160

9

5 FC

Page 11: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 11

Up in the Air?

An ultralight crop duster is climbing at a rate of 800

ft/min.

Write an equation which gives the height of the

plane in terms of the time after take off.

What is the height 3 minutes after take off?

Page 12: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 12

Up in the Air – Clues!

An ultralight crop duster is climbing at a rate of 800

ft/min.

Page 13: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 13

Up in the Air – Clues!

The crop duster takes off from ground level. So his height at

the start is 0 feet.

Page 14: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 14

Up in the Air – Clues!

What is the height 3 minutes after take off? t = 3

Page 15: 3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations

3.4 S KM & PP 15

That’s All for Now!