y = x,  y = 2x,  y = (1/2)x and y = (1/3)x.

In the above problems to find y value we can take any real number for x, but our convenience we are taking only integers.

The ordered pairs for the graph y = x

x	-3	-2	-1	0	1	2	3
y = x	-3	-2	-1	0	1	2	3
Ordered pairs	(-3,-3)	(-2,-2)	(-1,-1)	(0,0)	(1,1)	(2,2)	(3,3)

The ordered pairs for the graph y = 2x
>

x	-3	-2	-1	1	2	3
y = x	-6	-4	-2	2	4	6
Ordered pairs	(-3,-6)	(-2,-4)	(-1,-2)	(1,2)	(2,4)	(3,6)

The ordered pairs for the graph y = (1/3)x

x	-6	-3	3	6
y = x	-2	-1	1	2
Ordered pairs	(-6,-2)	(-3,-1)	(3,1)	(6,2)

The ordered pairs for the graph y = (1/2)x

x	-6	-4	-2	2	4	6
y = x	-3	-2	-1	1	2	3
Ordered pairs	(-6,-3)	(-4,-2)	(-2,-1)	(2,1)	(4,2)	(6,3)

Observing above graphs:

1. All these lines are passing through the origin.

2. All these lines are passing through I and III quadrants.

3. The general form of the relation is y = mx, where m = 1, 2, 1/2 and 1/3

4. For positive values of m, that is when the coefficient of x is positive the graph slopes upward to the right.  As the values of m increase the lines move towards y axis.

5. In the graph y = mx, m is known as the slope, and it is the coefficient of x.

6. m = y/x slope is the ratio between y-coordinate and x-coordinate.