Question

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

Answer 1

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 2

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.