The question asks how many solutions exist for the given system of equations, where the two graphed lines are parallel.

Explanation:

1. Parallel Lines: Parallel lines never intersect because they have the same slope but different y-intercepts.
2. Number of Solutions: A solution to a system of equations corresponds to a point of intersection between the lines. Since parallel lines do not intersect, there are zero solutions.

The correct answer is: B. Zero

Would you like further details or explanations? Here are some related questions you might find helpful:

1. How can you determine if two lines are parallel just from their equations?
2. What does it mean if two lines have infinitely many solutions in a system of equations?
3. How do the slopes of two lines affect the number of solutions they have?
4. Can two lines be parallel but still have one solution? Why or why not?
5. What is the geometric interpretation of systems of equations with two or more variables?

Tip: To confirm if lines are parallel mathematically, compare their slopes. If they are equal, the lines are parallel!