SOLUTION: Find the distance between (7, –9) and (–5, –4).

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Question 96018: Find the distance between (7, –9) and (–5, –4).
Answer by jim_thompson5910(28598) 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%287--5%29%5E2%2B%28-9--4%29%5E2%29 Plug in x%5B1%5D=7, x%5B2%5D=-5, y%5B1%5D=-9, y%5B2%5D=-4

d=sqrt%28%2812%29%5E2%2B%28-5%29%5E2%29 Evaluate 7--5 to get 12. Evaluate -9--4 to get -5.

d=sqrt%28144%2B25%29 Square each value

d=sqrt%28169%29 Add

d=13 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (7,-9) and (-5,-4) is 13 units