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It is a straight line equation that can be rearranged into slope intercept form: -x+2y = 12 2y = x+12 y = 0.5x+6 which is now in slope intercept form
The slope (m) is -2.5 -2y = 5x-12 -2y/-2 = (5x-12)/-2 y=-2.5x + 6 or more neatly: y= 6-2.5x
Without an equality sign and not knowing the plus or minus values of 2y and 5 it can't be considered to be a straight line equation.
2x+y=-12-4x-2y=30 x=-y/2+30, you plug this into -12-4x-2y=30 and get -12+2y-120-2y=30 which gives 2y-2y=162. This is not possible, so the equation is unsolvable.
2y-12x=-6 is the equation of a line. It has infinite number of solutions which are all the points one the line. We can rewrite the equation as 2y=12x-6 and then divide both sides by 2.This gives us y=6x-3. From this we know the equation describes a line with y intercept -2 and slope 6.