SOLUTION: Let f be a linear function such that f(2) = 17 and f(-1/3) = 3. What is f(1)?

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Question 841557: Let f be a linear function such that f(2) = 17 and f(-1/3) = 3. What is f(1)?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(2) = 17  represents P(2,17)

f(-1/3) = 3   represents P(-1/3,3)

Find slope:

 (2 ,17)

(-1/3,3)  m = 14%2F%287%2F3%29 = 6 

  f(x) = 6x + b   |Using P(2,17) to solve for b

 17 = 12 + b

  5 = b

  f(x) = 6x + 5

   f(1) = 6 + 5 = 11