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

##### 1 Answer

Mar 31, 2017

Coordinates of the other end point is

#### Explanation:

Look at the diagram also

Given -

A

M

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