Question 525766
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If you plot your points on a set of coordinate axes (*[tex \Large x]-value and corresponding *[tex \Large y]-value make an ordered pair that you can plot in *[tex \Large \mathbb{R^2}]) it looks very much like a straight line.


A straight line has a form *[tex \Large y\ =\ mx\ +\ b].  So if a point *[tex \Large (1,\,7)] is on the line represented by the solution set to that equation, then it must be true that


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m(1)\ +\ b\ = 7]


Likewise


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m(2)\ +\ b\ =\ 11]


Solving the 2X2 system to determine the values of the coefficients *[tex \Large b] and *[tex \Large m], plugging these values back into the equation form, and then checking the other *[tex \Large x] and *[tex \Large y] pairings for goodness of fit in the derived model is left as an exercise for the student.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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