SOLUTION: Find the distance between (-2,-3) and (-5,1)

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Question 316270: Find the distance between (-2,-3) and (-5,1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=-3.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=1.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-2--5%29%5E2%2B%28-3-1%29%5E2%29 Plug in x%5B1%5D=-2, x%5B2%5D=-5, y%5B1%5D=-3, and y%5B2%5D=1.


d=sqrt%28%283%29%5E2%2B%28-3-1%29%5E2%29 Subtract -5 from -2 to get 3.


d=sqrt%28%283%29%5E2%2B%28-4%29%5E2%29 Subtract 1 from -3 to get -4.


d=sqrt%289%2B%28-4%29%5E2%29 Square 3 to get 9.


d=sqrt%289%2B16%29 Square -4 to get 16.


d=sqrt%2825%29 Add 9 to 16 to get 25.


d=5 Take the square root of 25 to get 5.


So our answer is d=5


So the distance between the two points is 5 units.