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anonymous

  • one year ago

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

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  1. geerky42
    • one year ago
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    Well, to create linear function, you are going to need slope and y-intercept, right?

  2. anonymous
    • one year ago
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    yes..

  3. geerky42
    • one year ago
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    So your goal is to track slope and y-intercept.

  4. geerky42
    • one year ago
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    y-intercept is value of y when x=0

  5. anonymous
    • one year ago
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    Okay

  6. anonymous
    • one year ago
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    I still have no idea what to do..

  7. geerky42
    • one year ago
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    Look at table. For each time x value increase by 1, how much do y-value increase or decrease?

  8. anonymous
    • one year ago
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    It increases by 3

  9. geerky42
    • one year ago
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    Close. decrease by 3. Or you can say increase by -3.

  10. geerky42
    • one year ago
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    So use this fact, what is y when x=0?

  11. geerky42
    • one year ago
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    |dw:1433948998364:dw|

  12. anonymous
    • one year ago
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    -4..I think.

  13. geerky42
    • one year ago
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    |dw:1433949015157:dw|

  14. geerky42
    • one year ago
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    Yes -4

  15. geerky42
    • one year ago
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    So y-intercept is -4. So your equation would looks like \(f(x) = mx-4\)

  16. geerky42
    • one year ago
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    we still don't know slope m But we can eliminate choices. We are down to either A or C.

  17. anonymous
    • one year ago
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    C right?

  18. geerky42
    • one year ago
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    Correct slope is -3

  19. anonymous
    • one year ago
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    Thank you so much!

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