State whether the following statement is True or False. Justify your answer:
The graph of every linear equation in two variables need not be a line.
The graph of every linear equation in two variables need not be a line.
(FALSE) The statement is False.
By definition,a linear equation in two variables is of the form $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a$ and $b$ are not both zero. The geometric representation of such an equation in a Cartesian plane is always a straight line. Therefore,it is incorrect to say that the graph need not be a line.
By definition,a linear equation in two variables is of the form $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a$ and $b$ are not both zero. The geometric representation of such an equation in a Cartesian plane is always a straight line. Therefore,it is incorrect to say that the graph need not be a line.
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