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When two lines on a graph are parallel to each other, they have the same slope but different y-intercepts. This means they will never intersect, regardless of how far they are extended in either direction. In a coordinate plane, parallel lines can be represented by equations of the form (y = mx + b_1) and (y = mx + b_2), where (m) is the slope and (b_1) and (b_2) are different constants. This characteristic indicates that the lines maintain a consistent distance apart.

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1w ago

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