The slopes of two parallel lines will be the same.
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No, only lines that have the same slope can be parallel.
The same slope
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
Two parallel lines have equal slopes.
No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.