How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

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Answer 1 · 2017-03-31T02:48:25

Coordinates of the other end point is #(7,-8)#

Look at the diagram also enter image source here

Given -
A#(-1,4)#
M#(3,-2)#

To find the mid point you have to use the formula

#(x,y)=(x_1+x_2)/2, (y_1+y_2)/2#

#x=3#
#y=-2#
#x_1=-1#
#y_1=4#

We have to find -

#x_2=?#
#y_2=?#

Plug in the values in the above formula

#(3,2)=(-1+x_2)/2, (4+y_2)/2#

Then -

#(-1+x_2)/2=3#
#-1+x_2=3xx2=6#
#x_2=6+1=7#
#x_2=7#

#(4+y_2)/2=-2#
#4+y_2=-2xx2=-4#
#y_2=-4-4=-8#
#y_2=-8#

Coordinates of the other end point is #(7,-8)#