Which linear function represents the line given by the point-slope equation y – 8 = 1/2(x – 4)? f(x) =1/2 x + 4 f(x) =1/2 x + 6 f(x) = 1/2x – 10 f(x) =1/2 x – 12

QUESTION POSTED AT 01/06/2020 - 04:33 PM

Answered by admin AT 01/06/2020 - 04:33 PM

Rewrite the given y – 8 = 1/2(x – 4), replacing "y" with "f(x)."


Then f(x) – 8 = 1/2(x – 4)


Multiply all 3 terms by 2 to eliminate the fraction (1/2):


2f(x) = 16 + x - 4


Combine like terms: 2f(x) = x + 12

x + 12

Divide both sides by 2: f(x) = -----------

2


Note that this is equivalent to f(x) = (1/2)x + 6. Important: Use parentheses as indicated.

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