anonymous
  • anonymous
Write a rule for the linear function in the table. x f(x) 1 –7 2 –10 3 –13 4 –16 ------------------------- a. f(x)=-1/3x-4 b. f(x)=3x+4 c. f(x)=-3x-4 d. f(x)=x-7
Linear Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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geerky42
  • geerky42
Well, to create linear function, you are going to need slope and y-intercept, right?
anonymous
  • anonymous
yes..
geerky42
  • geerky42
So your goal is to track slope and y-intercept.

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geerky42
  • geerky42
y-intercept is value of y when x=0
anonymous
  • anonymous
Okay
anonymous
  • anonymous
I still have no idea what to do..
geerky42
  • geerky42
Look at table. For each time x value increase by 1, how much do y-value increase or decrease?
anonymous
  • anonymous
It increases by 3
geerky42
  • geerky42
Close. decrease by 3. Or you can say increase by -3.
geerky42
  • geerky42
So use this fact, what is y when x=0?
geerky42
  • geerky42
|dw:1433948998364:dw|
anonymous
  • anonymous
-4..I think.
geerky42
  • geerky42
|dw:1433949015157:dw|
geerky42
  • geerky42
Yes -4
geerky42
  • geerky42
So y-intercept is -4. So your equation would looks like \(f(x) = mx-4\)
geerky42
  • geerky42
we still don't know slope m But we can eliminate choices. We are down to either A or C.
anonymous
  • anonymous
C right?
geerky42
  • geerky42
Correct slope is -3
anonymous
  • anonymous
Thank you so much!

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