What is the distance between the two endpoints in the graph: (2,3) (-3,-2)?

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Answer 1 · 2016-12-01T03:34:52

The distance between the two points is #5sqrt(2)#

First remember the distance formula:

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

Note that you have been given the points (2,3) and (-3,-2).

Let #x_1=2#, #y_1=3#, #x_2=-3#, and #y_2=-2#

Now let's substitute these values into our distance formula.

#d=sqrt((-3-2)^2+(-2-3)^2)#

#d=sqrt((-5)^2+(-5)^2)#

#d=sqrt(25+25)#

#d=sqrt(50)#

#d=5sqrt(2)#