What is the distance between # (–5, –9) # and # (–7, 8) #?

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Answer 1 · 2016-01-13T16:19:30

distance#=sqrt(293#

The points are
#(-5,-9) = color(blue)(x_1,y_1#

#(-7,8) = color(blue)(x_2,y_2#

The distance is found using formula

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

#=sqrt((-7 - (-5))^2 + (8-(-9))^2#

#=sqrt((-7 + 5)^2 + (8 +9)^2#

#=sqrt((-2 )^2 + (17)^2#

#=sqrt(4 + 289#

#=sqrt(293#