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

Explanation

The given equation is y=x. To draw the graph of this equations, we need atleast two points lying on the given line.

For x=1, y=1, therefore (1,1) satisfies the linear equation y=x.
For x=4, y=4, therefore (4,4) satisfies the linear equation y=x.
By plotting the points (1, 1) and (4,4) on the graph paper and joining them by a line, we obtain the graph of y=x.
The given equation is y=x. To draw the graph of this equation, we need atleast two points lying on the given line.
For x=3, y=-3, therefore, (3, -3) satsifies the linear equation y= -x.
For x= -4, y= 4, therefore, (-4 ,4) satsifies the linear equation y= -x.
By plotting the points (3, -3) and (-4 ,4) on the graph paper and joining them by a line, we obtain the graph of y= - x.
We observe that, the line y=x and y= -x intersect at the point (0, 0).