Question

The midpoint of EF is M(4, 10). One endpoint is E(2, 6). Find the coordinates of the other endpoint F.

Answer 1

Well, to get from M to E you subtract two from the x, and 4 from the y.  So go the other way, and add two to the x and 4 to the y.  You get (6, 14)
This is because each endpoint is equidistant from the midpoint.

Answer 2

Answer:

Other point F ( 6 ,14).

Step-by-step explanation:

Given  : The midpoint of EF is M(4, 10). One endpoint is E(2, 6).

To find : Find the coordinates of the other endpoint F.

Solution : We have given  that

Line EF have mid point M ( 4 ,10)

One end point E ( 2 ,6) .

Let other point F ( $x_{2} ,y_{2}$)

Mid point segment formula ( M) : $(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$.

$\frac{x_{1}+x_{2}}{2}$ = 4

Plug $x_{1}$ = 2.

$\frac{2+x_{2}}{2}$ = 4

On multiplying both side by 2

2 + $x_{2}$  = 8

$x_{2}$ = 8- 2

$x_{2}$  =  6.

$\frac{y_{1}+y_{2}}{2}$ = 10.

Plug $y_{1}$ = 6.

$\frac{6+y_{2}}{2}$ = 10.

On multiplying both side by 2

6 +$y_{2}$  = 20

$y_{2}$ = 20 - 6

$y_{2}$ = 14.

Therefore, Other point F ( 6 ,14).