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

Respuesta :

Answer:

[tex]f(x)=\frac{1}{2}x+6[/tex]

Step-by-step explanation:

we have

[tex]y-8=\frac{1}{2}(x-4)[/tex]

Distribute the right side

[tex]y-8=\frac{1}{2}(x)-\frac{1}{2}(4)[/tex]

[tex]y-8=\frac{1}{2}x-2[/tex]

Adds 8 both sides

[tex]y=\frac{1}{2}x-2+8[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

Convert to function notation

f(x)=y

[tex]f(x)=\frac{1}{2}x+6[/tex]

therefore

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

Answer:

the answer is b

Step-by-step explanation:

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