Answer:
Step-by-step explanation:
To write the equation \( y = -\frac{2}{3}x + 4 \) in standard form (Ax + By = C), where A, B, and C are integers, follow these steps:
1. **Multiply through by 3** to eliminate the fraction:
\( 3y = -2x + 12 \)
2. **Move all terms to one side** to align with the standard form (Ax + By = C):
\( 2x + 3y = 12 \)
Therefore, the equation \( y = -\frac{2}{3}x + 4 \) written in standard form is \( \boxed{2x + 3y = 12} \).