We need to solve each system of linear equations provided in the problem, determine the number of intersection points, and if there is one point, find the coordinates. If there are infinitely many points of intersection, we will find the parametric equations.

Part (a):

The system of equations is: $3x - 2y = 4$ $6x - 4y = 9$

We can use substitution, elimination, or matrix methods to solve this. Let's simplify this system by multiplying the first equation to align terms.

Part (b):

The system of equations is: $2x - 4y = 1$ $4x - 8y = 2$

This appears to have a similar structure as part (a), so we will simplify it and check for any redundant or dependent equations.

Part (c):

The system of equations is: $x - 2y = 0$ $x - 4y = 8$

This system also can be solved by substitution or elimination methods. Now, let's solve each system to find the intersections.It seems like I can't do more advanced data analysis right now. Please try again later.

Feel free to ask any questions or share any further instructions, and I'll be happy to help!