SOLUTION: I can't seem to find the function rule for this set of data: x y -2 -2 0 1 2 4 4 7

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Question 61022: I can't seem to find the function rule for this set of data:
x y
-2 -2
0 1
2 4
4 7
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I can't seem to find the function rule for this set of data:
x y
-2 -2
0 1
2 4
4 7
If you plot the points and connect them you will see that they make a perfect line like this.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C1.5x%2B1%29
You were given the y-intercept (0,1), all we need is a slope and we can form the function.
The slope formula m=%28y2-y1%29%2F%28x2-x1%29, m is the slope, (x1,y1) and (x2,y2) are two points on the line.
(x1,y1)=(-2,-2) and (x2,y2)=(0,1)
m=%281-%28-2%29%29%2F%280-%28-2%29%29
m=%281%2B2%29%2F%280%2B2%29
m=3%2F2
The slope intercept form of a line is highlight%28y=mx%2Bb%29, m=slope, and (0,b)=y-intercept.
Your m=3/2 and (0,b)=(0,1)
y=(3/2)x+1
You can replace the y with f(x) if you need function notation.
f(x)=(3/2)x+1
Happy Calculating!!!