Write the equation in standard form using integers (y + 4 = 1/3 ( x+6) show ur work

To write the equation in standard form using integers, we need to eliminate the fraction.

Given equation: y + 4 = (1/3)(x + 6)

First, distribute the 1/3 to x and 6:

y + 4 = 1/3x + 2

Next, multiply every term by 3 to get rid of the fraction:

3(y + 4) = 3(1/3)x + 3(2)

3y + 12 = x + 6

Rearranging the terms:

x - 3y = -6 + 12

x - 3y = 6

The equation in standard form using integers is x - 3y = 6.