SOLUTION: Hi, I would love to know how can this type of questions being solve. "Suppose f(3)=8, f(0)=4, and f is a linear function. Find F(12)." Eventhough,I've got -3 as the answer. W

Algebra ->  Linear-equations -> SOLUTION: Hi, I would love to know how can this type of questions being solve. "Suppose f(3)=8, f(0)=4, and f is a linear function. Find F(12)." Eventhough,I've got -3 as the answer. W      Log On


   



Question 157733: Hi, I would love to know how can this type of questions being solve.
"Suppose f(3)=8, f(0)=4, and f is a linear function. Find F(12)."
Eventhough,I've got -3 as the answer. Was I correct?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's plot the points.
They should all line up on a line.

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No that doesn't look like a good solution.
When you look at the graph you see that when you move from x=0 to x=3, y moves from y=4 to y=8.
A linear graph will maintain that relationship(add 3 to x, add 4 to y).
So when you move from x=3 to x=6, then y would move from y=8 to y=12.

Keep going in this manner and eventually you'll reach x=12 and you'll have your y.
Please re-post if you get stuck.
Good luck.