Question 443748
Intersecting lines are just lines that touch.  Perpendicular lines are lines that form right angles. Their slopes are opposite reciprocals of each other. In other words, let's say a line has slope 2, then the line perpendicular of it has slope (-1/2).
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In the same plane, two lines are either intersecting or parallel. If we were talking about lines that were not coplanar (lines not in the same plane), then lines can be skew. So yes, they can, but not in the same plane.