Question

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

Answer 1

Answer: ( 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 )