They will, if they have different slopes.
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No, parallel lines never meet or cross each other.
When 2 lines cross over each other they intercept each other forming certain types of angles
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.
No. Only lines that intersect at 90 degree angles are perpendicular. Any other lines that cross each other are simply intersecting lines.
If parallel lines had the same y intercept then they would intersect each other at that point (0, c). Parallel lines don't intersect at all so they cannot have the same y intercept. The only exception would be if both lines were the same.