Question

Someone help me pliz

Answer 1

B(2, - 1 )

Explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(
`(x_(1)+x_(2) )/(2)`,
`(y_(1)+y_(2) )/(2)` )

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

`(4+x)/(2)` = 3 ( multiply both sides by 2 )

4 + x = 6 ( subtract 4 from both sides )\

x = 2

`(3+y)/(2)` = 1 ( multiply both sides by 2 )

3 + x = 2 ( subtract 3 from both sides )

x = - 1

Coordinates of B = (2, - 1 )