Respuesta :

Answer:C


Step-by-step explanation:

if you distribute the 3 in c you get 3y-2

For this case, we must find an equation equivalent to the given equation, but as a function of y.

If we have:

[tex]y = \frac {1} {3} (x + 2)[/tex]

We must clear "x":

[tex]y = \frac {1} {3} x + \frac {2} {3}[/tex]

Subtract [tex]\frac {2} {3}[/tex] from both sides of the equation:

[tex]y- \frac {2} {3} = \frac {1} {3} x + \frac {2} {3} - \frac {2} {3}\\y- \frac {2} {3} = \frac {1} {3} x[/tex]

We multiply by 3 on both sides of the equation:

[tex]3 * (y- \frac {2} {3}) = \frac {1} {3} x * 3\\x = 3 * (y- \frac {2} {3})[/tex]

Thus, an equivalent equation is:

[tex]x = 3 * (y- \frac {2} {3})[/tex]

Answer:

[tex]x = 3 * (y- \frac {2} {3})[/tex]