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what is the equation for the function table

X= 4 5 6 7 12

Y= -2 0 2 4 ?

3 answers

  1. What is the y-intercept?

  2. Do you need to find the ? as well?

  3. Pick any two points to calculate the slope as 2
    (or notice that for every increase of 1 in the x, the y increases by 2, so rise/run = 2/1 )
    so equation is y = 2x + b
    plug in (5,0)
    0 = 2(5) + b
    b = -10
    so
    y = 2x -10

    then if x=12
    y = 24-10 = 14

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