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

Answer:

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

Step-by-step 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:

$y-8=\frac{1}{2}(x-4)\\ Distributing\ 1/2\\y-8=\frac{1}{2}x-(4)(\frac{1}{2})\\y-8=\frac{1}{2}x-2\\y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6$

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