What is the distance between (2, -3) and (5, -4)?

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Answer 1 · 2016-10-01T00:31:30

#sqrt(58)# units

We have: #(2, - 3)# and #(5, - 4)#

Let's apply the distance formula:

#=> d = sqrt((x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2))#

#=> d = sqrt((5 - 2)^(2) + (- 4 - (- 3))^(2))#

#=> d = sqrt(3^(2) + (- 7)^(2))#

#=> d = sqrt(9 + 49)#

#=> d = sqrt(58)#

Therefore, the distance between the two points #(2, - 3)# and #(5, - 4)# is #sqrt(58)# units.