SOLUTION: Let f be the linear function so that f(3/5)=-9/5 Calculate f(x) for every x How can we solve this?

Question 947908: Let f be the linear function so that f(3/5)=-9/5
Calculate f(x) for every x
How can we solve this?
Found 2 solutions by Fombitz, rothauserc:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You cannot.
To solve for a linear function, , you need to have two points.
You only have 1.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we can use the following equation,
f(x) = x -(12/5), then
f(3/5) = 3/5 - (12/5) = -9/5
therefore we can use our equation for f(x) to calculate f(x) for every x belonging to R (real numbers)
note that there are an infinite number of equations f(x) that will satisfy f(3/5) = -9/5
here is a graph of our equation (red line) and from this you can see that there are an infinite number of functions f(x) going through the one point (3/5, -9/5)
for example, f(x) = 2x - (15/5) = 6/5 - 15/5 = -9/5 (green line)

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