Respuesta :

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

[tex]f(x) = x+4[/tex]

Step-by-step explanation:

Given the point-slope equation:

[tex]y-8 = 1(x-4)[/tex]

Apply the distributive property:  [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]

⇒[tex]y-8 = x-4[/tex]

Add 8 to both sides we have;

[tex]y-8+8 = x-4+8[/tex]

Simplify:

[tex]y = x+4[/tex]

Use notation: y = f(x)

then;

[tex]f(x) = x+4[/tex]

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

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