Question

m is the midpoint of segment AB. if M (-1,2) and A(-9,6) find the cooridinates of the other endpoints.

Answer 1

B(7 , -2)

Explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

`Midpoint = ((x_(1)+x_(2))/(2) , (y_(1)+y_(2))/(2)) = (-1 , 2)\\`

`((-9+x_(2))/(2),(6+y_(2))/(2)) = (-1 , 2)\\`

Compare the x co ordinates and y co ordinates,

`(-9+x_(2))/(2)= - 1` &
`(6+y_(2))/(2)=2`

-9 + x₂ = -1*2 & 6 + y₂ = 2*2

-9 + x₂ = -2 & 6 + y₂ = 4

x₂ = -2 +9 & y₂ = 4 - 6

x₂ = 7 & y₂ = -2

B(7 , -2)