Answer:
y = -2/3 x +2
Step-by-step explanation:
2x+3y = 12
First find the slope by putting it in slope intercept form y= mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
3y = -2x+12
Divide by 3
3y/3 = -2/3x +12/-3
y = -2/3x -4
The slope is -2/3
Parallel lines have the same slope
The only line with the same slope is y = -2/3 x +2
The only line