Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.
No Solutions
One Solution
Infinitely Many Solutions
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions
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To determine the relationship between the graphs of systems of linear equations, we can analyze their slopes and intercepts:
1. No Solutions: This occurs when the lines are parallel, meaning they have the same slope but different y-intercepts. They will never intersect.
2. One Solution: This happens when the lines intersect at exactly one point. The lines have different slopes.
3. Infinitely Many Solutions: This is the case when the two lines are the same, which means they have the same slope and y-intercept. They lie on top of each other.
If you have specific graphs in mind, consider these relationships to drag them accordingly! If you need more detailed guidance, feel free to ask!