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2 votes
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

User DaddyMoe
by
8.2k points

2 Answers

4 votes
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
User Newfurniturey
by
8.6k points
7 votes

Answer: The correct option is B.

Step-by-step explanation:

The given equation is,


(y-8)=(1)/(2) (x-4)

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

Multiply both sides by 2.


2(y-8)=x-4


2y-16=x-4

Add 16 both sides.


2y=x+12

Divide both sides by 2.


y=(1)/(2)x+(1)/(2)(12)


y=(1)/(2)x+6

Therefore option B is correct.

User Adrian Martin
by
8.2k points

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