Posted by **aaron** on Sunday, December 16, 2012 at 12:49am.

study time in X hours

8

5

7

12

10

test grade Y in percent

68

50

62

92

80

a)model the date in a linear function

b)interpret the meaning of the slope

- math need help -
**Bosnian**, Sunday, December 16, 2012 at 1:52am
5 , 50

7 , 62

8 , 68

10 , 80

12 , 92

Different :

7 - 5 = 2

62 - 50 = 12

12 / 2 = 6

That mean :

y increases for 6 when x increases for 1

That is slope.

Slope intercept equation of straight line :

y = m ( x + x1 ) + y1

In this case :

m = ( y2 - y1 ) / ( x2 - x1 )

You can take any two points , example:

x1 = 8

y1 = 68

x2 = 10

y2 = 80

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 80 - 68 ) / ( 10 - 8 ) = 12 / 2 = 6

Slope = 6

y = m ( x - x1 ) + y1

y = 6 ( x - 8 ) + 68

y = 6 x - 48 + 68

y = 6 x + 20

Proof :

x = 8

y = 6 * 8 + 20 = 48 + 2 = 68

x = 5

y = 6 * 5 + 20 = 30 + 20 = 50

x = 7

y = 6 * 7 + 20 = 42 + 20 = 62

x = 12

y = 6 * 12 + 20 = 72 + 20 = 92

x = 10

y = 6 * 10 + 20 = 60 + 20 = 80

- math need help -
**darrell maxwell**, Wednesday, December 19, 2012 at 8:50am
i need help on my math work

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