Answer:
[tex]f(x)=x+4[/tex]
Step-by-step explanation:
we have
[tex]y-8=(x-4)[/tex]
This is the equation of the line in point slope form
where
The slope is m=1
The point is (4,8)
Convert to slope intercept form
Isolate the variable y
Adds 8 both sides
[tex]y-8+8=x-4+8[/tex]
Combine like terms
[tex]y=x+4[/tex]
Convert to function notation
[tex]f(x)=x+4[/tex]