There are two possibilities. If the y intercepts are unique, the lines are parallel. If the y intercepts are the same, the lines are coincident. ( They are the same line)
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Yes, as long as the negative slopes are both equal.
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
The slopes of the opposite sides are equal.