Show graphically

Given: the system of equations:

To show:systems of equations has infinitely many solutions.
Solution:
consider the equation 2x + 3y = 6
To plot its graph,
we have

Putting x = 0 we get y = 2
putting y = 0 we get x = 3
The table for points of 2x + 3y = 6 is:

Plot A(0,2) and B(3,0) in the graph
Consider the equation 4x + 6y = 12
To plot its graph,
we have

Putting x = 6 we get y = -2
Putting y = 4 we get x = -3
The table for the points 4x + 6y = 12 is:

Plot C(6,-2) and D(-3, 4) in the graph

Now plot the graphs for these equations as:

As Both the lines pass through the same points and are coinciding.
There can be infinite points lying on both the lines.
Hence,systems of equations has infinitely many solutions.