## Distance Between Points in the Cartesian Plane

For two points P

_{1}= (x

_{1}, y

_{1}) and P

_{2}= (x

_{2}, y

_{2}) in the Cartesian plane, the distance between P

_{1}and P

_{2}is defined as:

Example:

Find the distance between the points (−5, −5) and (0, 5) residing on the line segment pictured below.

Solution:

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