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**(1) An equation of the form , where a, b, c are real numbers such that a and b not both zero is called a linear equation in two variables.
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**(2) A linear equation in two variables has infinitely many solutions.
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If we take , then

If we take , then

**(3) The graph of a linear equation in two variables is a straight line.
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We have

When , we have:

When , we have:

When , we have:

Thus, we have the following table:Plotting the points (0, 4) (2, 2) and (4, 0) on the graph paper and drawing a line joining them.

**(4) The equations of x and y-axes are and respectively.
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Â equation is for y-axes because in this equation .

**(5) The graph of the equation is a straight line parallel to y-axis.
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**(6) The graph of the equation is a straight line parallel to x-axis.
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**(7) Every point on the graph of a linear equation in two variables is a solution of the equation. Conversely, every solution of linear equation in two variables represents a point on the graph of the equation.
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