SOLUTION: Find the distance between each pair of points (7,3), (-1,-4)

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Question 347471: Find the distance between each pair of points (7,3), (-1,-4)
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=7 and y%5B1%5D=3.
Also, is the second point . So this means that x%5B2%5D=-1 and y%5B2%5D=-4.


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%287--1%29%5E2%2B%283--4%29%5E2%29 Plug in x%5B1%5D=7, x%5B2%5D=-1, y%5B1%5D=3, and y%5B2%5D=-4.


d=sqrt%28%288%29%5E2%2B%283--4%29%5E2%29 Subtract -1 from 7 to get 8.


d=sqrt%28%288%29%5E2%2B%287%29%5E2%29 Subtract -4 from 3 to get 7.


d=sqrt%2864%2B%287%29%5E2%29 Square 8 to get 64.


d=sqrt%2864%2B49%29 Square 7 to get 49.


d=sqrt%28113%29 Add 64 to 49 to get 113.


So our answer is d=sqrt%28113%29


Which approximates to d=10.63


So the distance between the two points is approximately 10.63 units.