Question

Determine as coordenadas do ponto médio do segmento de extremidades A(- 4, 0) e B(7, - 2)

Answer 1

✅ Após resolver os cálculos, concluímos que o ponto médio do referido segmento retilíneo é:

          $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf M = \bigg(\frac{3}{2},\,-1\bigg)\:\:\:}}\end{gathered} }$

Sejam os pontos:

                    $\Large\begin{cases} A(-4, 0)\\B(7, -2)\end{cases}$

Para calcular o ponto médio de um segmento retilíneo devemos calcular a média aritmética de cada uma das coordenadas dos estremos do referido segmento, ou seja:

       $\Large\displaystyle\begin{gathered} M = (X_{M}, Y_{M})\end{gathered}$

              $\Large\displaystyle\text{ \begin{gathered} = \bigg(\frac{X_{A} + X_{B}}{2},\,\frac{Y_{A} + Y_{B}}{2}\bigg)\end{gathered} }$

              $\Large\displaystyle\begin{gathered} = \bigg(\frac{-4 + 7}{2},\,\frac{0 + (-2)}{2}\bigg)\end{gathered}$

              $\Large\displaystyle\begin{gathered} = \bigg(\frac{3}{2},\,-\frac{2}{2}\bigg)\end{gathered}$

              $\Large\displaystyle\begin{gathered} = \bigg(\frac{3}{2},\,-1\bigg)\end{gathered}$

✅ Portanto, o ponto médio é:

          $\Large\displaystyle\begin{gathered} M = \bigg(\frac{3}{2},\,-1\bigg)\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Observe \:o\:Gr\acute{a}fico!!\:\:\:}}}\end{gathered} }$