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Find the midpoint of the line segment with the given endpoints. (4,5) & (-8, —7)

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4 votes

Answer:

(- 2, - 1 )

Explanation:

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

M = (
(x_(1)+x_(2) )/(2) ,
(y_(1)+y_(2) )/(2) ) ← midpoint formula

let (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (- 8, - 7 )

substitute these values into the formula for M

M = (
(4-8)/(2) ,
(5-7)/(2) ) = (
(-4)/(2) ,
(-2)/(2) ) = (- 2, - 1 )

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