Answer:
B = (10, 9 )
Step-by-step explanation:
Using the midpoint formula
M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)
[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )
- 2 + x = 8 ( add 2 to both sides )
x = 10
and
[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )
3 + y = 12 ( subtract 3 from both sides )
y = 9
Then B = (10, 9 )
