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Standard form of a linear equation is represented as

Ax + By = C

If A and B are the coefficients of the x and y and they are both equal to zero then C would always be equal to 0 for any given x and y value.

0x + 0y = 0

Since the linear equation is an equation between two variables that gives a straight line when plotted on a graph, (0,0) is a point itself and wouldn't be able to form a line.

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Q: Why can't a coefficient of x and y in standard form of a linear equation cannot both be zero?
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