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wegnerkolmp2741o

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

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