Draw the graphs of y= x, y=2x and y=3x on the same graph sheet. Find the angle made by the three graphs with the positive x-axis. Do you find any pattern?

Dear Student,

Please find below the solution to the asked query:

We form a table for different values of x and y for all three equations , As :
 

y = x		y = 2 x		y = 3 x
x	y	x	y	x	y
0	0	0	0	0	0
- 2	- 2	- 2	- 4	- 2	- 6
- 4	- 4	- 4	- 8	- 4	- 12
2	2	2	4	2	6
4	4	4	8	4	12

Now we plot these points on x - y plane and get :



How to find angles between graph of line and between axis you will learn in your further study .

And we can see from the graph all three lines are passing through origin .


Hope this information will clear your doubts about topic.

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