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Parallel and Perpendicular Lines
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane).
Parallel Lines in greater depth On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees. Perpendicular Lines in greater depth. Linear Equations: slope intercept form |y-intercept| slope | interactive slope Worksheet on Parallel & Perpendicular lines based on this web page
Parallel lines in greater depth Both of the lines below have the same slope: ½ Therefore these lines are parallel and will never meet. 
Are the two lines pictured below parallel?
Answer 
Are the two lines below parallel?
Answer 
Perpendicular Lines in greater depth
Are the two lines in the picture below perpendicular?
Answer 
Determine whether or not lines 6 and 5 perpendicular? Answer Yes. Line 5 's slope is 3/2 and line 6 's is -2/3, which are negative reciprocals. Are Line P and line L perpendicular?
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While these lines may look parallal at first glance, if you look closely and calculate each line's