what is the coordinate of the endpoint of the line segment whose midpoint is (-2...

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October 2022 1 2 Report

what is the coordinate of the endpoint of the line segment whose midpoint is (-2, 1) and one endpoints is (-5, 4)? A. (2,- 1) B. 1, -2) C. (1,2) D. (-1, -2)

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TheoD

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$\mathbb{SOLUTION:}$

First, Use the formula of midpoint and subtitute (-2, 1) into (-5, 4) :

$\begin{gathered} \rm{Midpoint} = \left(\dfrac{x_1 + x_2}{2},\,\dfrac{y_1 + y_2}{2}\right) \end{gathered}$

$\begin{gathered} \rm{Midpoint} = \left(\dfrac{-5 + x_2}{2} = - 2,\,\dfrac{4 + y_2}{2} = 1\right) \end{gathered}$

$\begin{gathered} \rm{Midpoint} = (-5 + x_2 = - 4, 4 + y_2 = 2) \end{gathered}$

$\begin{gathered} \rm{Midpoint} = (x_2 = -4 + 5, y_2 = 2 - 4) \end{gathered}$

$\begin{gathered} \rm{Midpoint} = (x_2 = 1, y_2 = -2) \end{gathered}$

$\begin{gathered} \rm{Midpoint} = (1, -2) \end{gathered}$

Hence, the coordinate of the endpoint of the line segment is (1, -2). Therefore the correct answer is Option B.

Answer : $\boxed{\rm (1, -2)}$

AlexaYeona nice answer

Red9272889990 pa help po plss :(

AlexaYeona tingnan ninyo po sagot ko po kung tama sorry po kung mali

andreshia234 tama ba to?

AlexaYeona opo

AlexaYeona tama po io

AlexaYeona ito

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