When a system of equations has an infinite number of solutions, this means that the equations will be identical.
Convert the given equation to y = mx + b form.
2y - 4x = 6
2y = 4x + 6
y = 2x + 3
Answer A, B, and D don't apply.
Answer C is the answer because if it is the same equation but with a negative sign in front of each term. If you switch the signs on every single term, you will have the given equation.
A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.