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# which equation represents a line that is parallel to the line whose equation is 2x+3y=12? 1. 6y-4x=2 2.6y+4x=2 3. 4x-6y=2 4. 6x+4y=-2

$2x+3y=12\\3y=-2x+12\ /\ :\ 3\\y=-\frac23x+4\\a=-\frac23$ 1. $6y-4x=2\\6y=4x+2\ /\ : 6\\y=\frac23x+\frac13\\a=\frac23$ 2. $6y+4x=2\\6y=-4x+2\ /\ : 4\\y=-\frac23x+\frac13\\a=-\frac23$ 3. $4x-6y=2\\-6y=-4x+2\ /\ : (-6)\\y=\frac23x-\frac13\\a=\frac23$ 4. $6x+4y=-2\\4y=-6x-2\ /\ : 4\\y=-1,5x-0,5\\a=-1,5$ Answer: 2