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

Question

2781 views around the world

You can reuse this answer
Creative Commons License

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)#