To rewrite the equation \( y = 3x + 8 \) in standard form, we need to bring all terms to one side and have the equation in the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.
Starting with the equation:
\[ y = 3x + 8 \]
Subtract \( 3x \) from both sides:
\[ -3x + y = 8 \]
To write it in standard form (with \( A \) being a positive integer), we can multiply the entire equation by -1:
\[ 3x - y = -8 \]
Thus, the standard form of the equation is:
\[ 3x - y = -8 \]