Find the distance between the following pairs of points :
(– 5, 7), (– 1, 3)

Solution

Let the given points be A(-5, 7) and B(-1, 3).
Let the given points be A(-5, 7) and B(-1, 3).

AB space equals space square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root rightwards double arrow space AB space equals square root of left curly bracket negative 1 minus left parenthesis 55 right parenthesis right curly bracket squared left parenthesis negative 3 minus left parenthesis negative 1 right parenthesis right curly bracket squared end root space space space space space space space space space space space space equals space square root of 16 plus 16 end root equals square root of 32 space space space space space space space space space space space space space equals 4 square root of 2

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