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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.
 Parallel & Perpendicular Lines Applet Parallel Lines Lines worksheet Perpendicular Lines worksheet

Example of parallel lines.

As you can see from the diagram below, these lines
• have the same slope
• 2
• are never going to intersect

Example of perpendicular lines.

As you can see from the picture below:

Applet

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Click and drag the points below to explore the relationship between parallel lines, perpendicular lines, slope and the graph of a line.
 Draw Rise and Run ? Show Rise and Run Text?
 Line Types [Parallel/Perpendicular/ Both] Parallel Lines Only Perpendicular Lines Only Both Parallel and Perpendicular
 
  

Parallel lines in greater depth

Both of the lines below have the same slope: $$\frac{1}{2}$$
Therefore these lines are parallel and will never meet.
Are the two lines pictured below parallel?

Are the two lines below parallel?
Are the two lines in the picture below perpendicular?