SOLUTION: The table shows values for a linear function, f(x). x f(x) -1 -8 3 -5 7 -2 11 1 What is an equation for f(x)?

Algebra ->  Functions -> SOLUTION: The table shows values for a linear function, f(x). x f(x) -1 -8 3 -5 7 -2 11 1 What is an equation for f(x)?      Log On


   



Question 1186738: The table shows values for a linear function, f(x).
x f(x)
-1 -8
3 -5
7 -2
11 1
What is an equation for f(x)?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the slope is 3/4 for any two adjacent points.
Then use point slope formula y-y1=m(x-x1) where m slope and (x1, y1) point
y-1=(3/4)(x-11)
y=(3/4)x-(29/4), distributing and moving the 1 over.
graph%28300%2C300%2C-10%2C15%2C-15%2C10%2C%283%2F4%29x-%2829%2F4%29%29