Answer:
B(7 , -2)
Step-by-step explanation:
A(-9 , 6)
Midpoint = (-1 , 2 )
[tex]Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\[/tex]
[tex](\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\[/tex]
Compare the x co ordinates and y co ordinates,
[tex]\frac{-9+x_{2}}{2}= - 1[/tex] & [tex]\frac{6+y_{2}}{2}=2[/tex]
-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)
