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

Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

$Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)$

                   $(\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)$

Compare the x co ordinates and y co ordinates,

$\frac{-9+x_{2}}{2}= - 1$               &    $\frac{6+y_{2}}{2}=2$

-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)