Question

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) =1/2 x – 10 f(x) =1/2 x – 12

Answer 1

The correct answer is f(x) =1/2 x + 6

Explanation:

We have to convert the equation of line in the form of a function to compare with the options

Given equation of line is:

`y-8=(1)/(2)(x-4)\\ Distributing\ 1/2\\y-8=(1)/(2)x-(4)((1)/(2))\\y-8=(1)/(2)x-2\\y=(1)/(2)x-2+8\\y=(1)/(2)x+6`

Therefore, the correct answer is f(x) =1/2 x + 6 ..