The coordinates of one of the endpoints of a segment is (2, 4). The coordinates of the midpoint is (-2, 7). What is the coordinates of the other endpoint?

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Answer 1 · 2018-06-25T07:20:18

#(-6,10)# is the coordinates of your endpoint

Your mid point is given by #((x_1+x_2)/2,(y_1+y_2)/2)#
where #(x_1,y_1)# is one of your endpoints and #(x_2,y_2)# is your other endpoint

Since you know that the midpoint is #(-2,7)# and one of your endpoints is #(2,4)#, then we can solve for your other endpoint

#-2=(2+x_2)/2#

#-4=2+x_2#

#x_2=-6#

#7=(4+y_2)/2#

#14=4+y_2#

#y_2=10#

Therefore, #(x_2,y_2)# is #(-6,10)# which is the coordinates of your endpoint