What is the distance between #(-1, -5)# and #(8, 7)#?

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Answer 1 · 2016-03-04T16:42:49

The distance #=15#

The coordinates are:
#(-1,-5) = color(blue)(x_1,y_1#
#(8,7)= 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((8-(-1))^2 + (7-(-5))^2#

#=sqrt((8+1)^2 + (7+5)^2#

#=sqrt((9)^2 + `(12)^2#

#=sqrt((81+ `144)#

#=sqrt(225#

#=15#