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

A.f(x)=1/2 x+4

B.f(x)=1/2 x+6

C.f(x)=1/2x-10

D.f(x)=1/2x-12

Respuesta :

bella707
B is the correct option
ditribute first on the right side
then add 8 to the right side and that will make y by itself

Answer: The correct option is B.

Explanation:

The given equation is,

[tex](y-8)=\frac{1}{2} (x-4)[/tex]

We need to simplify the above equation and separate the variable y.

Multiply both sides by 2.

[tex]2(y-8)=x-4[/tex]

[tex]2y-16=x-4[/tex]

Add 16 both sides.

[tex]2y=x+12[/tex]

Divide both sides by 2.

[tex]y=\frac{1}{2}x+\frac{1}{2}(12)[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

Therefore option B is correct.

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