Verified Answer :

TheHero

y -8 = x - 4

y = x -4 + 8 

y = x + 4

where y = f(x) ( y is a function of x meaning that y value is determined with the help of the value of x)

f(x) = x +4

Answer:

Option 1st is correct

\(f(x) = x+4\)

Step-by-step explanation:

Given the point-slope equation:

\(y-8 = 1(x-4)\)

Apply the distributive property:  \(a\cdot (b+c) = a\cdot b+ a\cdot c\)

⇒\(y-8 = x-4\)

Add 8 to both sides we have;

\(y-8+8 = x-4+8\)

Simplify:

\(y = x+4\)

Use notation: y = f(x)

then;

\(f(x) = x+4\)

Therefore, the  linear function represents the line given by the point-slope equation y – 8 = (x – 4) is, \(f(x) = x+4\)

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