Mathematics
remleterry
13

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

+1
(1) Answers
MaiaAmadeo

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

Add answer