SOLUTION: x y 1 3 2 9 3 17 4 27 5 39 6 54 Can you help me turn this into a linear function ?

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Question 1126939: x y
1 3
2 9
3 17
4 27
5 39
6 54
Can you help me turn this into a linear function ?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x|y
1 |3
2 |9
3|17
4%09|27
5%09|39
6%09|54

first plot all points:

as you can see, there is no line that passes through all these points, they are not on same line; so, we can only find a best-fit line for a set of data
all we can do to turn this into a linear function y=mx%2Bb,is to choose two given points which are somehow in the middle and find a slope m:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29...use points (2,9) and (5, 39)

m=%2839-9%29%2F%285-2%29
m=30%2F3
m=10
so far, your equation is y=10x%2Bb
you need y-intercept b, so use one point and plug x and y value in y=6x%2Bb
I will go with this one:(2,9)
9=10%2A2%2Bb
9=20%2Bb
9-20=b
b=-11
and you have:y=10x-11

graph it and check if that line is the best fit for given points:



so, the line y=10x-11 is a best-fit line for given set of points