A line segment has a midpoint of (-3,2) and an endpoint of (-6,4). What is the other endpoint of the line segment?

2 Answers
May 15, 2018

(0,0)

Explanation:

from -3 to -6 is -3 so add 3 to -3 #=> 0#
from 2 to 4 is 2 so take 2 from 2#=>0#

May 15, 2018

Other end point of the line segment is #color(maroon)( (0,0)#

Explanation:

Let A and B the end points and C the midpoint

#A(-6,4), C (-3,2), B(x,y)#

To find #B (x,y)#

#(x -6)/ 2 = -3#

#x = 2*-3 + 6 = 0#

#(y + 4)/2 = 2#

#y = 2*2 - 4 = 0#

Other end point of the line segment is #B (0,0)#