If the given line is ax + by + c = 0
then a parallel line is ax + by + d = 0 for any constant d.
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Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.
Lines are parallel when they remain equal distance apart from one another and they never intersect with each other.
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They both will have the same slope or gradient but with different y intercepts
bcause you have to make it parallell or it's not a segment.