The problem asks to solve the system of equations $y = -2x + 2$ and $4y + 8x = 8$ by graphing. We need to determine if there is a unique solution, infinitely many solutions, or no solution. If there is a unique solution, we need to identify the ordered pair.

1. Problem Description

The problem asks to solve the system of equations $y = -2x + 2$ and $4y + 8x = 8$ by graphing. We need to determine if there is a unique solution, infinitely many solutions, or no solution. If there is a unique solution, we need to identify the ordered pair.

2. Solution Steps

We have the following system of equations:

$y = -2x + 2$ (1)

$4y + 8x = 8$ (2)

We can rewrite the second equation to isolate $y$:

$4y = -8x + 8$

$y = -2x + 2$ (3)

Notice that equation (3) is identical to equation (1). This means that the two equations represent the same line. Therefore, there are infinitely many solutions.

3. Final Answer

B. There are infinitely many solutions.