Question

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

Answer 1

Answer: The correct option is B.

Explanation:

The given equation is,

$(y-8)=\frac{1}{2} (x-4)$

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.

$y=\frac{1}{2}x+\frac{1}{2}(12)$

$y=\frac{1}{2}x+6$

Therefore option B is correct.

Answer 2

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