A line segment has a midpoint of (6, 4) and an endpoint of (2, 1). What is the other endpoint of the line segment?

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Answer 1 · 2015-11-10T05:51:29

#therefore# the required point is #( x_1,y_1 )= (10,6)#

A mid point is ;

#((x_1 + x _ 2)/2 , (y_1+y_2)/2 )# = (6,4){Given in problem }

We are given
#(x_2,y_2) = (2,1) #

Now equations ;

#(x_1 + 2)/2 = 6#

#=> x_1 = 10#

#(y_1 + 2)/2 = 4#

#=> y_1 = 6#

#therefore# the required point is #( x_1,y_1 )= (10,6)#