SOLUTION: can you help me with this? find the distance between each pair of points (-4,2),(2,-6) thank you. me

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Question 142225: can you help me with this?
find the distance between each pair of points (-4,2),(2,-6)
thank you.
me
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 where is the first point and is the second point

d=sqrt%28%28-4-2%29%5E2%2B%282--6%29%5E2%29 Plug in x%5B1%5D=-4, x%5B2%5D=2, y%5B1%5D=2, y%5B2%5D=-6

d=sqrt%28%28-6%29%5E2%2B%288%29%5E2%29 Evaluate -4-2 to get -6. Evaluate 2--6 to get 8.

d=sqrt%2836%2B64%29 Square each value

d=sqrt%28100%29 Add

d=10 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (-4,2) and (2,-6) is 10 units