Here are the matched terms with their correct explanations for possible solutions to a system of equations:
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Two lines are parallel - Two lines have the same slope and different y-intercepts.
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Two lines intersect at one point - Two lines have different slopes.
This gives a complete picture of the three possibilities for a system of linear equations:
- No solution: The lines are parallel (same slope, different y-intercept).
- One solution: The lines intersect at one point (different slopes).
- Infinitely many solutions: The lines are the same (same slope and the same y-intercept).
It seems you mentioned "say the 3 go to the correct answer," but there are typically only two situations for intersecting lines (one solution or no solution). Could you clarify if there is a third term you would like to include?