SOLUTION: Find the distance between the points (-3,5) and (9,-11).

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find the distance between the points (-3,5) and (9,-11).      Log On

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Question 87214: Find the distance between the points (-3,5) and (9,-11).
Answer by jim_thompson5910(21685) 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%29

d=sqrt%28%28-3-9%29%5E2%2B%285--11%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=5, y%5B1%5D=9, y%5B2%5D=-11

d=sqrt%28%28-12%29%5E2%2B%2816%29%5E2%29 Subtract -3-9 to get -12. Subtract 5--11 to get 16.

d=sqrt%28144%2B256%29 Square each value

d=sqrt%28400%29 Add each value

d=20 Simplify the square root
So the distance between (-3,5) and (9,-11) is 20