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Im confused on this can someone help

Im confused on this can someone help-example-1
User Unbalanced
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Explanation:

1. the same : no solution means lines do not intersect which means they are parallel

2. the same : infinitely many solutions mean two lines overlap so they have same slope

3. different : parallel but not overlapping lines. so slope is same but different y intercepts

4. the same : overlapping lines so slopes AND y intercepts are same

5. different : lines should have different slopes in order to have a solution

User Rudis
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