Question

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

Answer 1

`\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}`