SOLUTION: Hi. I was wondering if you could help me with this problem. Given that f(3)=12 and f(5)=-2 find f(1/7) I've tried the f(x)=mx+b formula f(3)=m(3)+b=12 f(5)=m(5)+b=-2 5

Question 230577: Hi. I was wondering if you could help me with this problem.
Given that f(3)=12 and f(5)=-2 find f(1/7)
I've tried the f(x)=mx+b formula
f(3)=m(3)+b=12
f(5)=m(5)+b=-2
5-3=2m and -2-12=-14
M=-14/-2
M=-7
And this is where I get stuck.
Thank you
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
>Given that f(3)=12 and f(5)=-2 find f(1/7)
>I've tried the f(x)=mx+b formula
Good idea.
>f(3)=m(3)+b=12
>f(5)=m(5)+b=-2
The way you've written this is confusing. It would be better as:
12 = m(3) + b
-2 = m(5) + b
>M=-14/-2
>M=-7
Still good.

Now we just use this value for "m" to find "b". We can substitute into either equation:
12 = (-7)(3) + b
12 = -21 + b
33 = b

So the function is:
f(x) = -7x + 33

And finally we can use this to find f(1/7):
f(1/7) = -7(1/7) + 33
f(1/7) = -1 + 33
f(1/7) = 32

RELATED QUESTIONS
Hi eberyone, I was wondering if anyone could show me how to solve the following problem; (answered by Earlsdon)

Hi I need help with that problem Given the following function, find (-5), (0), and... (answered by Alan3354,solver91311)

I am studying for a test and was womdering if there was someone that could help me with... (answered by stanbon)

Hi, I was wondering if I could get some help on this problem? If f(n) =... (answered by ikleyn,greenestamps,math_tutor2020)

I have been struggling on how to figure this problem out and I was wondering if someone... (answered by gonzo)

Good Morning I was wondering if you could help me with this problem Given... (answered by stanbon)

I have been struggling on how to do this problem and I was wondering if someone could... (answered by gonzo)

1. Graph the given function and show your work: f(x)=-2x-5 I'm confused on this one,... (answered by stanbon)

Hi, I am having problems understanding a problem based on the rule of a function. The... (answered by ikleyn)