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

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 plot the graph of the 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 graphs of both lines are straight lines that meet only at the origin.

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