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Remember that parallel lines never meet and perpendicular lines makes at least one right angle.|dw:1378610739846:dw|
except you can't figure out if the two points make a set of parallel or perpendicular lines because two points only define one line....there must be more to the story.
but can find the definition of the line with the two points given y-y1=m(x-x1)
then if you have two more points....if both lines have the same slope they are parallel
if the slopes are opposite they are perpendicular
if the slopes are different they are skew
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