To rewrite the equation \( y = 3x + 8 \) in standard form, we want to rearrange it in the form \( Ax + By = C \) where \( A, B, \) and \( C \) are integers and \( A \) is non-negative.
Starting with the original equation:
\[ y = 3x + 8 \]
We can subtract \( 3x \) from both sides:
\[ -3x + y = 8 \]
This is now in standard form, which can also be written as:
\[ 3x + y = 8 \]
Both \( 3x + y = 8 \) and \( -3x + y = 8 \) are forms of this equation in standard form. However:
- The first option \( 3x + y = 8 \) is in standard form where \( A = 3 \) (which is non-negative).
- The second option \( -3x + y = 8 \) is also in standard form, but with \( A = -3 \) (which is negative).
Therefore, the most appropriate standard form for \( y = 3x + 8 \) is:
3x + y = 8