Q7 of 42 Page 37

The graph of every linear equation in two variables need not be a line.

False


Explanation:


Linear equation in two variables is represented geometrically by a line whose points make up the collection of solutions of the equation.


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5

The coordinates of points in the table:


represent some of the solutions of the equation x – y + 2 = 0.

 6

Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

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Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. What do you observe?

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Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is times its abscissa.