What is the distance between #(2, 8)# and #(-6, -7)#?

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Answer 1 · 2016-05-01T17:16:39

The distance #= 17#

#(2, 8) = color(blue)(x_1 , y_1)#

#( -6 , - 7) = color(blue)(x_2 , y_2)#

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

#= sqrt ((-6 - 2)^2 + ( -7 - 8 )^2#

#= sqrt ((-8)^2 + ( -15 )^2#

#= sqrt (64 + 225)#

#= sqrt (289)#

#=17#