What is the distance between #(-8,17)# and #(-8,-8)#?

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Answer 1 · 2017-06-27T21:18:52

25

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

Plug your points into the formula.

You can make either coordinate set #1. Let's use (-8, 17) as our first.

#(-8, 17) #
#x_1 = -8, y_1 = 17#

#(-8, -8)#
#x_2 = -8, y_2 = -8#

Distance = #sqrt((-8 - (-8))^2 + (-8 - 17)^2)#

#= sqrt(0^2 + (-25)^2)#
#= sqrt(0 + 625)#
# = sqrt(625)#
# = 25#

The distance between the two points is #25#.