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Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint 1: (-9,8)
Midpoint: (2,-1)
Endpoint 2= (____.____)

Answer :

Answer:

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Answer:

(13, - 10 )

Step-by-step explanation:

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

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let endpoint 2 = (x, y ), then equate to the coordinates of midpoint, that is

[tex]\frac{1}{2}[/tex] (- 9 + x ) = 2 ( multiply both sides by 2 )

- 9 + x = 4 ( add 9 to both sides )

x = 13

[tex]\frac{1}{2}[/tex] (8 + y) = - 1 ( multiply both sides by 2 )

8 + y = - 2 ( subtract 8 from both sides )

y = - 10 )

endpoint 2 = (13, - 10 )

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