https://file.aiquickdraw.com/mathbot/file/1727191167583trr5blvs.jpg

The graph shows two overlapping lines, which means they are the same line. When two lines overlap completely, this implies that every point on one line is also on the other. Hence, the system of equations represented by these lines has **infinite solutions**, as there are infinitely many points where the two lines intersect.

Therefore, the correct answer is **a. Infinite Solutions**.

Would you like more details on why overlapping lines imply infinite solutions? Here are five related questions to expand on this:

1. How do you solve a system of equations graphically when lines are parallel?
2. What does it mean when two lines have no solution in a system of equations?
3. How can you tell from the equations of lines whether they will overlap or be parallel?
4. How is the slope of a line related to the number of solutions in a system of equations?
5. What is the difference between consistent and inconsistent systems of equations?

**Tip:** For a system of equations, if the lines overlap (have the same slope and y-intercept), the system has infinite solutions.

What is the solution to the system of equations represented in the graph? (hint: the two lines are overlapping.)

This problem asks for the solution to a system of equations where two lines are overlapping, representing a situation with infinite solutions. Explore how graphing lines on a coordinate plane helps identify the number of solutions in a system. Suitable for students in Grades 8-10.

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