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

1 Answer
Jun 27, 2017

25

Explanation:

Use the distance formula:

DistanceĀ = #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#

DistanceĀ = #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#.