SOLUTION: x=0,2,4,6 y=2,5,8,11 I have to write an equation for this pattern and do not understand how to achieve this. thanks

Algebra ->  Linear-equations -> SOLUTION: x=0,2,4,6 y=2,5,8,11 I have to write an equation for this pattern and do not understand how to achieve this. thanks      Log On


   

Question 390462: x=0,2,4,6
y=2,5,8,11
I have to write an equation for this pattern and do not understand how to achieve this.
thanks
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that for every increase of 2 for x, y increases by 3. The function is (most probably) linear, with slope of 3/2. Plugging any point (x,)) into y+=+%283%2F2%29x+%2B+b, we obtain b = 2, so the equation of the line is y+=+%283%2F2%29x+%2B+2.

I say that it is most probably linear because it is possible to define an unusual function that satisfies all the given x,y values. For example, the function y+=+%283%2F2%29x+cos+%28x%2Api%29+%2B+2 is equivalent to y+=+%283%2F2%29x+%2B+2 at the given values, but nowhere else on the function. If we already know the function is linear, then you can be sure that y+=+%283%2F2%29x+%2B+2 is the only function that satisfies.