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

The given linear equations are:

y = x ------- (i)

Following are some values x and y which satisfy the equation

y = -x ------- (ii)

Following are some values x and y which satisfy the equation (ii)

Plotting the above values in the same graph:

From the above graph it can be observed that the two lines y = x and y = – x intersect each other at (0, 0).