SOLUTION: x= 1, 4, 5, 6, 8 y= _, 18, 23, 28, 38 I have to solve for y. I do not the equation to solve this problem. My book calls this problem graphing functions.

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: x= 1, 4, 5, 6, 8 y= _, 18, 23, 28, 38 I have to solve for y. I do not the equation to solve this problem. My book calls this problem graphing functions.      Log On

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Question 1498: x= 1, 4, 5, 6, 8
y= _, 18, 23, 28, 38
I have to solve for y. I do not the equation to solve this problem. My book calls this problem graphing functions.
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
This question is to find the linear function of y in terms of x.
Assume (y-y1)/(x-x1) = m , since when x=4, y =18 and when x=5,y=23.
slope m = (23-18)/(5-4) = 5.
We have (y-18)/(x-4) = 5, or y-18 = 5(x-4)
or y = f(x) = 5x -2.
Check: f(6) = 30-2 =28 = y(OK),
f(8) = 40-2 =38 (OK)