Answer:
2x - 3y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = [tex]\frac{2}{3}[/tex] x + 4 ( multiply all terms by 3 )
3y = 2x + 12 ( subtract 3y from both sides )
0 = 2x - 3y + 12 ( subtract 12 from both sides )
- 12 = 2x - 3y, that is
2x - 3y = - 12 ← in standard form