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 = ( [tex]\frac{x_{1}+x_{2}}{2}[/tex] , [tex]\frac{y_{1}+y_{2}}{2}[/tex]
This means
(1 , -8 ) = ([tex]\frac{0 + x}{2}[/tex] , [tex]\frac{-1 + y }{2}[/tex])
Equating the x - component , we have
1 = [tex]\frac{0 + x}{2}[/tex]
1 = x/2
Therefore
x = 2
Also equating the y - component
- 8 = [tex]\frac{-1 + y }{2}[/tex]
-16 = -1 + y
-15 = y
Therefore :
y = -15
Therefore , the other endpoint is :
( 2 , - 15 )
