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Find the midpoint of the segment with the following endpoints.
(-5,5) and (-10,2)

User Marieanne
by
4.3k points

1 Answer

2 votes

Answer:


\huge{ \fbox{ \sf{ \: (7.5 \:, 3.5)}}}

Explanation:


\star{ \sf{ \: Let \: the \: points \: be \: A\: and \: B}}


\star{ \sf{ \: Let \:A(-5,5) \: be \: (x1 \:, y1) \: and \: B(-10,2) \: be \: (x2 ,\: y2)}}


\underline{ \text{To \: find}} : \sf{Midpoint}


\underline{ \underline{ \mathfrak{Let's \: solve}}} :


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


\hookrightarrow{ \sf{ \: Midpoint = ( ( - 5 + ( - 10))/(2) \:, (5 + 2)/(2) }})


\text{ \underline{ Remember!}} : \sf ( + ) * ( - ) = ( - )


\hookrightarrow{ \sf{Midpoint = ( ( - 5 - 10)/(2 ) \:, (5 + 2)/(2)}} )


\text{ \underline{Remember!}} : \sf{The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}


\hookrightarrow{ \sf{Midpoint \: = \: ( ( - 15)/(2) \:, (7)/(2) }})


\hookrightarrow{ \sf{Midpoint = ( \: 7.5 ,\: 3.5}})

Hope I helped!

Best regards! :D

~
\sf{TheAnimeGirl}

User Christopher Parker
by
5.0k points