SOLUTION: Slope=-1/3 and f(9)=2 use the given conditions to write a function in the form f(x)=mx+b

Question 1077947: Slope=-1/3 and f(9)=2 use the given conditions to write a function in the form f(x)=mx+b
Answer by rapture(86) (Show Source): You can put this solution on YOUR website!

Let m = slope

So, m = -1/3

Let f(x) = y

When x = 9, y = 2 or simply the point (9, 2).

We have enough information to find b.

2 = (-1/3)9 + b

2 = -3 + b

2 + 3 = b

5 = b

We can now write the needed function.

Answer: f(x) = (-1/3)x + 5

We can also write the answer as

f(x) = (-x/3) + 5

Either way is correct.

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