Posted by **Mary** on Friday, November 2, 2007 at 12:47am.

I need help finding a function rule.

X Y

-4 -3

-2 0

0 3

- Algebra -
**student acc**, Friday, November 2, 2007 at 12:54am
So your function rule would be as follows:

(-4,-3), (-2,0), (0,3)

Now use the formula to get the slope

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

(-4,-3) and (-2,0)

m = (0-(-3))/(-2-(-4))

m= 3/2

m=1.5

so this gives you

y = 1.5x +b

y= 1.5

x = 1

1.5 = 1.5 (1) = b

1.5 = 1.5 +b

b = 0

so your function is

f(x) 1.5x

- Algebra -
**drwls**, Friday, November 2, 2007 at 9:33am
Each increase in x by +2 causes y to increase by +3. Therefore the function is a straight line of the form

y = mx = b and the slope is m = 1.5. Yopu still need to determine the constant term, b.

Use any point such as (x=0, y=3) to get b.

3 = 1.5*0 + b

b = 3

y = 1.5 x + 3

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