What equation would best represent the data?

x y
1 2
2 8
4 20
5 26
10 56

1 Answer
Douglas K.
May 12, 2018

#y = 6x -4#

Explanation:

Compute slope between #(x_1,y_1) and (x_2,y_2)#

#(8-2)/(2-1) = 6#

Compute slope between #(x_2,y_2) and (x_3,y_3)#

#(20-8)/(4-2) = 6#

The same is true for all of the points; this means that they are colinear with a slope of 6, therefore, we shall write an equation of a line that has a slope of 6 and passes through the first point:

#y = 6(x-1)+2#

Simplify:

#y = 6x -4#

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