The endpoint of a line segment is (-9, 7). The midpoint of the segment is (10, -3). Find the other endpoint. *show work*

Question

please help

Answer 1

There are various ways to work this.  However, the simplest way is just to

apply the same changes in x and y to get from midpoint to other end as

we applied to get from first end to midpoint:

 

Change in x:  -9 to 10 is 10-(-9) = +19

 

Change in y:  7 to -3 = -3-7 = -10

 

Far endpoint:  (10+19, -3-10) = (29, -13)