SOLUTION: Find the distance between (9, -3) and (-1, 3)

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Question 593754: Find the distance between (9, -3) and (-1, 3)
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=9 and y%5B1%5D=-3.
Also, is the second point . So this means that x%5B2%5D=-1 and y%5B2%5D=3.


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%289--1%29%5E2%2B%28-3-3%29%5E2%29 Plug in x%5B1%5D=9, x%5B2%5D=-1, y%5B1%5D=-3, and y%5B2%5D=3.


d=sqrt%28%2810%29%5E2%2B%28-3-3%29%5E2%29 Subtract -1 from 9 to get 10.


d=sqrt%28%2810%29%5E2%2B%28-6%29%5E2%29 Subtract 3 from -3 to get -6.


d=sqrt%28100%2B%28-6%29%5E2%29 Square 10 to get 100.


d=sqrt%28100%2B36%29 Square -6 to get 36.


d=sqrt%28136%29 Add 100 to 36 to get 136.


d=2%2Asqrt%2834%29 Simplify the square root.


So the exact distance is d=2%2Asqrt%2834%29


Which approximates to d=11.662


So the distance between the two points is approximately 11.662 units.