Question

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals StartFraction one-half EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)? F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4 f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X – 10 f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12

Answer 1

the answer is b

Explanation:

Answer 2

`f(x)=(1)/(2)x+6`

Explanation:

we have

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

Distribute the right side

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

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

Adds 8 both sides

`y=(1)/(2)x-2+8`

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

Convert to function notation

f(x)=y

`f(x)=(1)/(2)x+6`

therefore

f(x) equals StartFraction one-half EndFraction x plus 6