What is the distance between #(2,-4)# and #(7,5)#?

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Answer 1 · 2016-01-15T13:29:50

distance #=sqrt(106)#

The points are
#(2,-4) = color(blue)(x_1,y_1#

#(7,5) = color(blue)(x_2,y_2#

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

distance #=sqrt((7-2)^2 +(5-(-4))^2#

#=sqrt((5)^2 +(9)^2#

#=sqrt((25+81)#

#=sqrt(106)#