SOLUTION: If f(4)=0 and f(6)=6, what represents f(x)?

Algebra ->  Rational-functions -> SOLUTION: If f(4)=0 and f(6)=6, what represents f(x)?      Log On


   



Question 260305: If f(4)=0 and f(6)=6, what represents f(x)?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have two coordinates here:
(4,0) and (6,6)
from these we can create a slope using
m+=+%28y2-y1%29%2F%28x2-x1%29
we get
m+=+%286-0%29%2F%286-4%29
which is
m+=+3
Now we need to fnid the b value using
y+=+mx+%2B+b
we get
0+=+3%2A4+%2B+b
solving, we get
b+=+-12
our equation is now,
f(x) = 3x -12