Question

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

Answer 1

Answer: ( 2 , - 15 )

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 = (
`(x_(1)+x_(2))/(2)` ,
`(y_(1)+y_(2))/(2)`

This means

(1 , -8 ) = (
`(0 + x)/(2)` ,
`(-1 + y )/(2)`)

Equating the x - component , we have

1 =
`(0 + x)/(2)`

1 = x/2

Therefore

x = 2

Also equating the y - component

- 8 =
`(-1 + y )/(2)`

-16 = -1 + y

-15 = y

Therefore :

y = -15

Therefore , the other endpoint is :

( 2 , - 15 )