What is the distance between #(–3, –2)# and #(-6, -7)#?

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Answer 1 · 2016-02-18T17:56:29

distance #= sqrt(34)#

The points are :
#(-3,-2) = color(blue)(x_1,y_1#
#(-6,-7) = color(blue)(x_2,y_2#

Distance #= sqrt((x_2-x_1)^2 +(y_2-y_1)^2#

#= sqrt((-6 - (-3))^2 +(-7 - (-2))^2#

#= sqrt((-6 +3)^2 +(-7 +2)^2#

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

#= sqrt(9 +25)#

#= sqrt(34)#