SOLUTION: Given that f is a linear function for which f(−5) = −21and f(3) = 19,determine f(0).

Algebra ->  Linear-equations -> SOLUTION: Given that f is a linear function for which f(−5) = −21and f(3) = 19,determine f(0).      Log On


   

Question 513683: Given that f is a linear function for which f(−5) = −21and f(3) = 19,determine f(0).
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We can find the equation of the line by first finding the slope of f, which is



Then we can write in point-slope form.

, hence f(0) = 4 (by replacing x with 0 and solving for y).
-----------------
Or, we can find the number 5/8 of the way from -21 to 19, because 0 is 5/8 of the way from -5 to 3. It can be seen that 4 is 5/8 of the way from -21 to 19, so f(0) = 4.