Question

Find the other endpoint of the line segment with the given endpoint

and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (

Answer 1

Explanation:

Let the other endpoint be (x,y)

Since, (1,6) is the midpoint between (9,1) and (x,y)

Therefore,

1=(9+x)/2

=> 2=9+x

=> x= -7

and,

6=(1+y)/2

=>12= 1+y

=> y=11

So, the other endpoint is ( -7, 11)

Answer 2

( - 7 , 11)

Explanation:

Let the coordinates of Endpoint 2 be

(x ,y)

The midpoint of the endpoints is given by

`(1,6) = ( (9 + x)/(2) , (1 + y)/(2) )`

Where x and y are coordinates of Endpoint 2

Comparing with the midpoint we have

`1 = (9 + x)/(2) \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7`

`6 = (1 + y)/(2) \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11`

Therefore x = - 7 and y = 11

The coordinates of Endpoint 2 are

( - 7 , 11)

Hope this helps you