What is the distance between #(-6, -1)# and #(-10, -4 )#?

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Answer 1 · 2018-05-03T03:04:04

The distance between #(-6, -1)# and #(-10, -4)# is #5# units.

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

Label your ordered pairs.

#(-6, -1) (X_1, Y_1)#
#(-10, -4) (X_2, Y_2)#

Plug them into your formula:

#d = sqrt((-10 - -6)^2 + (-4 - -1)^2)#

Two negatives become a positive, so:

#d = sqrt((-10 + 6)^2 + (-4 + 1)^2)#

Add.

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

Square your numbers.

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

Add.

#d = sqrt((25))#

#d = 5# units