Can someone tell me why?
How come the standard from Ax+By=C cannot be zero?
The reason why A and B cannot both be zero is that if they are, the solution set is not a line. Rather, if A and B are both zero and C is also zero, the solution set is the entire plane, whereas if A and B are both zero and C is not zero, there are no solutions. Thus, to represent a line, it is necessary that at least one of A and B be nonzero.
Reply:Ummm, what cannot be 0? A,B, C, x, y,...?
The "standard form" is an equation. It doesn't make sense to say "an equation is zero." Only a number can be zero...
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