SOLUTION: Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}

Algebra ->  Subset -> SOLUTION: Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}       Log On


   

Question 708756: Write the equation for the following relation.
R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
From one point to the next x increases by 4, while y increases by 2.
So, it's a linear equation/relation/function, with a slope of 1%2F2 for y as a function of x.
The equation would be y=%281%2F2%29x%2Bb.
Substituting the coordinates of point (4, 5)
5=%281%2F2%29%284%29%2Bb--> 5=2%2Bb --> b=5-2 --> b=3
So the equation could be y=%281%2F2%29x%2B3 or any of the infinity of equivalent equations,
like 2y=x%2B6 (obtained by multiplying both sides times 2).
or 2y-x=6, or x-2y%2B6=0, or x=2y-6.