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 = (y2y1)/(x2x1)
(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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