What is the distance between #(-4,11)# and #(-7, 7) #?

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Answer 1 · 2018-03-27T23:00:57

The distance between the two points is #5#.

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

Plug in our points #(-4,11)# and #(-7,7)#:

#d=sqrt((-7-(-4))^2+(7-11)^2)#

#color(white)d=sqrt((-7+4)^2+(7-11)^2)#

#color(white)d=sqrt((-3)^2+(-4)^2)#

#color(white)d=sqrt(9+16)#

#color(white)d=sqrt25#

#color(white)d=5#

That's the distance. Hope this helped!