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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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Solution:

First of all the us plot the graph of linear equation y = x and y = –x

The corresponding x and y-coordinates can be written as:

             

Plotting the above in the same Cartesian plane, we get:

Here we observe that the graph of both the lines is straight line graph and meet only at the origin.

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