Question

5-star rating for right answer

Answer 1

B(3, 8 )

Explanation:

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

[
`(1)/(2)` (x₁ + x₂ ),
`(1)/(2)` (y₁ + y₂ ) ]

let the coordinates of B = (x, y )

Then apply the formula and equate coordinates to midpoint coordinates, that is

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

x + 1 = 4 ( subtract 1 from both sides )

x = 3

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y =
`(1)/(2)` (y + 2 ) = 5 ( multiply both sides by 2 )

y + 2 = 10 ( subtract 2 from both sides )

y = 8

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Thus B = (3, 8 )