We have the equation:
• 6x - 9y = 12
To write it in terms of y, solve for y:
6x - 9y= 12
Subtract 6x from both sides of the equation:
6x - 6x - 9y = 12
-9y = 12 - 6x
Divide both sides by -9
-9y/-9 = (12-6x)/-9
y = -4/3 + 2/3x
Rearrange:
y = 2/3x - 4/3 (option C)