Draw the graphs of linear equations y = x and y = -x on the same cartesian plane. What do you observe
Solution:
Given, the linear equations are y = x and y = -x
We have to draw the graphs of the equations on the same cartesian plane.
Considering the equation y = x
We need a few points to plot on the graph.
For x = 1, y = 1
For x = 4, y = 4
Therefore, the points of the equation are (1, 1) and (4, 4)
By plotting the points (1, 1) and (4, 4) on the graph and joining the points we get a straight line which is the graph of y = x
Considering the equation y = -x
We need a few points to plot on the graph.
For x = 3, y = -3
For x = -4, y = 4
Therefore, the points of the equation are (3, -3) and (-4, 4)
By plotting the points (3, -3) and (-4, 4) on the graph and joining the points we get a straight line which is the graph of y = -x.
From the graphs of y = x and y = -x we observe that both the graphs intersect at the point (0, 0).
✦ Try This: Draw the graphs of linear equations y = 2x and y = - 2x on the same cartesian plane. What do you observe?
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 1
Draw the graphs of linear equations y = x and y = -x on the same cartesian plane. What do you observe
Summary:
The graphs of linear equations y = x and y = - x on the same cartesian plane is mentioned above. We observe that the graphs intersect at the point (0, 0) i.e., the graph intersects at the origin
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