Rewrite the equation in \( A x+B y=C \) form Use integers for \( A, B \), and \( C \). \( y=\frac{1}{3} x-6 \)

To rewrite the equation \( y=\frac{1}{3} x-6 \) in the form \( A x + B y = C \), first, we can eliminate the fraction by multiplying the entire equation by 3. This results in \( 3y = x - 18 \). Now, rearranging gives us \( -x + 3y = -18 \). To convert it into a standard format where \( A, B, \) and \( C \) are integers, we can multiply the entire equation by -1. Thus, we have \( x - 3y = 18 \), where \( A=1, B=-3, C=18 \).