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Find the midpoint M of the line segment joining the points R = (-3,-7) and S = (1, -1).​

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Answer:


\huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}

Explanation:

Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).


\text{Finding \: the \: midpoint} :


\boxed{ \sf{midpoint = ( (x1 + x2)/(2 ) \: , (y1 + y2)/(2) )}}


\sf{➳midpoint = ( ( - 3 + 1)/(2) \:, ( - 7 + ( - 1))/(2) })


\text{Remember} :

  • ( + ) * ( - ) = ( - )
  • ( - ) * ( + ) = ( - )
  • ( + ) * ( + ) = ( + )
  • ( - ) * ( - ) = ( + )


\sf{➳midpoint = ( ( - 3 + 1)/(2) \: , ( - 7 - 1)/(2) )}


\text{Remember} :

  • The positive integers are always added and posses the positive ( + ) sign.
  • The negative numbers are always added but posses the negative sign ( - ).
  • The negative and positive integers are always subtracted but posses the sign of the bigger integer.


\sf{➳midpoint = ( ( - 2)/(2) \: , ( - 8)/(2) )}


\sf{➳midpoint = ( - 1 \:, - 4})


\text{Hope \: I \: helped!}


\text{Best \: regards!}


\text{TheAnimeGirl}

User PJUK
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