Question

Create a set of coordinates to model a relation that is a linear function.

Answer 1

I will create a set of arbitrary constants (x1,y1) (x2,y2)

slope = y2-y1/x2-x1

y = (y2-y1/x2-x1)x + b

y2 = (y2-y1/x2-x1)x2 + b

b = y2 - (y2-y1/x2-x1)x2

y = (y2-y1/x2-x1)x + [y2 - (y2-y1/x2-x1)]

Choose any points and just 
Plug the values and you have a linear function.

NOT SURE IF THAT'S WHAT THE QUESTION WANTS.