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marmar
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#2 is correct. You know this because when you solve for y, the x's have the same slope.
y=mx+b where "m" is the gradient <-- marmar i hope you are familiar with this equation. so for 2y =2-2x, you agree that it can be written as 2y=-2x+2, and after you factorise/simplify(ie divide everything by 2) it will look like y =-x+1 does this look familiar to the form y= mx+b, hence we may deduce that m= -1 if we then look at the options they offer for the SECOND one 1x -4 =-1y do you agree that this is the same as writing 1y= -1x +4 thus "m" =-1 which is the SAME for 2y =2-2x for the THIRD one, 2y -4 =x, you agree this is the same as y =(x/2)+(4/2) where "m" = 1/2 which is NOT THE SAME for 2y =2-2x for the FOURTH one, 2y -3 =2x, you agree this is the same as writing y=(2x/2) +(3/2), thus "m" =1 which is NOT THE SAME for 2y =2-2x therefore, it is true for only the SECOND ONE. and because it is true for the SECOND ONE we may dismiss the FIRST ONE which is "None of them" as a possible answer. so the final answer is the SECOND ONE. i hope this makes sense
http://www.wolframalpha.com/input/?i=2x%2B2y%3D2+and+x-4%3D-y+and+2x%3Dy%2B4+and+2y-4%3Dx+and+2y-3%3D2x Here's a (hopefully) easy visualization of the problem.