Question

Match the correct solution to each system of equations graphed below. *Not all answers will be used. Place the correct solution beneath the graph it matches to. (4 points)
No solution
:: Infinitely many solutions
(1, 1)
(-1, 2)
:: (-1.5, 4.5)
::(0,-1)

Answer 1

To match the correct solution to each system of equations based on their graphs, you would typically look for the point of intersection of the lines:

1. **No solution**: This occurs when the two lines are parallel and will never intersect.

2. **Infinitely many solutions**: This occurs when the two equations represent the same line, so every point on the line is a solution.

3. **(1, 1)**: This is a specific point of intersection, meaning the two lines intersect at this coordinate.

4. **(-1, 2)**: This is another specific point of intersection.

5. **(-1.5, 4.5)**: This is also a specific point of intersection.

6. **(0, -1)**: This is another specific point of intersection.

Since I can't see the graphs you're referring to, you'll need to analyze the graphs according to these descriptions:

- If you notice two lines that do not intersect, label it as "No solution."
- If two lines overlap completely, label it as "Infinitely many solutions."
- If you can identify a specific intersection point, match it to the corresponding coordinate.

Once you analyze each graph, place the correct solution beneath it according to your findings.