Answer:
B(2, - 1 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
let the coordinates of B = (x, y )
Then using the midpoint formula, equate to each coordinate of the given midpoint, that is
(x₁, y₁ ) = A(4, 3) and (x₂, y₂ ) = B(x, y) , then
[tex]\frac{4+x}{2}[/tex] = 3 ( multiply both sides by 2 )
4 + x = 6 ( subtract 4 from both sides )\
x = 2
[tex]\frac{3+y}{2}[/tex] = 1 ( multiply both sides by 2 )
3 + x = 2 ( subtract 3 from both sides )
x = - 1
Coordinates of B = (2, - 1 )
