Victoria M.

asked • 04/11/17

The coordinates of one endpoint of a line segment are(-2,-3). The line segment is 6 units long. What are the other four possible endpoints?

It is coordinate plain 

1 Expert Answer

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Andrew M. answered • 04/11/17

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The simple solutions are:
Right 6:  (-2+6,-3) = (4,3)
Left 6:    (-2-6,-3) = (-8,-3)
Up 6:      (-2,-3+6) = (-2, 3)
Down 6:  (-2,-3-6) = (-2,-9)
 
Those are for horizontal or vertical
line segments. 
 
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Mark M.

tutor
There are infinitely many such points, each of which lies on the circle with center (-2,-3) and radius 6.
 
Mark M (Bayport, NY)
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04/11/17

Andrew M.

Exactly Mark.  ????
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04/11/17

Andrew M.

Circle with radius r = 6 and center (h,k) = (-2,-3)
All points on the circular graph:
(x+2)2 + (y+3)2 = 36
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04/11/17

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