Question

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

Answer 1

2

Explanation:

Answer 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