Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th
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Answer :

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 at least two points lying on the given line. For x = 3, y = – 3, therefore, (3, – 3) satisfies the linear equation y = -x. For x = – 4, y = 4, therefore, (- 4, 4) satisfies 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, 0).
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