What is the distance between #(–3, –2)# and #(4, 7)#?

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Answer 1 · 2015-12-23T16:55:00

The distance #=color(blue)( sqrt(130)#

The points are

#(-3,-2) = color(blue)(x_1,y_1#
#(4,7) = color(blue)(x_2,y_2#

The distance between the points can be calculated formula:

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

#= sqrt((4 - (-3))^2 +(7+2)^2)#

#= sqrt((4 +3)^2 +(7+2)^2)#

#= sqrt((7)^2 +(9)^2)#

#= sqrt((49 +81)#

#=color(blue)( sqrt(130)#