Answer:
[tex]\displaystyle \large \boxed{\sf \displaystyle y=\frac{-4}{9}x+\frac{2}{3}}[/tex]
Step-by-step explanation:
Switch sides
[tex]9y+4x=6[/tex]
Subtract 4x from both sides
[tex]9y=-4x+6[/tex]
Divide both sides by 9
[tex]\displaystyle y=\frac{-4x+6}{9}[/tex]
[tex]\displaystyle y=\frac{-4}{9}x+\frac{2}{3}[/tex]
