Mathematics: a line segment as an endpoint (0,-1) and a midpoint: (1,-8). the other endpoint is

not me thanks for da points bruhStep-by-step explanation:...

a line segment as an endpoint (0,-1) and a midpoint:

CameronVand21

10.01.2022

( 2 , - 15 )

Step-by-step explanation:

Given :

endpoint = ( 0 , -1 )

midpoint = ( 1 , - 8 )

Let the other end point be ( x , y )

The equation for finding the mid point of a line segment is given by :

mid point = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$

This means

(1 , -8 ) = ( $\frac{0 + x}{2}$ , $\frac{-1 + y }{2}$ )

Equating the x - component , we have

1 = $\frac{0 + x}{2}$

1 = x/2

Therefore

x = 2

Also equating the y - component

- 8 = $\frac{-1 + y }{2}$

-16 = -1 + y

-15 = y

Therefore :

y = -15

Therefore , the other endpoint is :

( 2 , - 15 )

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