What is the distance between #(–3, 2) and # (5, –1) #?

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Answer 1 · 2016-04-01T17:22:25

Distance #= sqrt (73)#

The coordinates are:
#(-3, 2) = color(blue)(x_1, y_1)#

#(5, -1) = color(blue)(x_2, y_2)#

Distance is calculated using formula:
Distance #= sqrt ((x_2- x_1) ^2 + (y_2 - y_1)^2#

#= sqrt ((5 - (-3 )) ^2 + (-1 - 2)^2#

#= sqrt ((5 + 3 ) ^2 + (-1 - 2)^2#

#= sqrt ((8 ) ^2 + (-3)^2#

#= sqrt (64 + 9)#

#= sqrt (73)#