Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}} }: [/tex]
- Coordinates of E = ( -3 , 2 )
- Coordinates of H = ( 1 , -1 )
[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Let E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}[/tex]
⟶ [tex] \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}[/tex]
⟶ [tex] \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}[/tex]
⟶ [tex] \sf{( -1 \: ,\frac{1}{2} )}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}[/tex]
Hope I helped ! ♡
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