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 solution type for systems of linear equations, consider the following:
1. No Solutions: This occurs when the lines representing the equations are parallel and will never intersect. This means they have the same slope but different y-intercepts.
2. One Solution: This occurs when the lines intersect at exactly one point. This means they have different slopes.
3. Infinitely Many Solutions: This occurs when the lines are the same line, meaning they lie on top of each other. This means they have both the same slope and the same y-intercept.
For the graphs you would be dragging, look for pairs of lines that meet these criteria. If you have any specific graphs you want to discuss or need more clarification on, feel free to ask! Remember to check out the extended services for more detailed help!