SOLUTION: find the distance between (-6,2) and (3,-2)

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Question 87855: find the distance between (-6,2) and (3,-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

d=sqrt%28%28-6-3%29%5E2%2B%282--2%29%5E2%29 Plug in x%5B1%5D=-6, x%5B2%5D=3, y%5B1%5D=2, y%5B2%5D=-2

d=sqrt%28%28-9%29%5E2%2B%284%29%5E2%29 Evaluate -6-3 to get -9. Evaluate 2--2 to get 4.

d=sqrt%2881%2B16%29 Square each value

d=sqrt%2897%29 Add
Which approximates to

d=9.8488578017961

So the distance between (-6,2) and (3,-2) is about 9.8488578017961