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