SOLUTION: Find the distance between (–4, 0) and (–5, –3)

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Question 101146: Find the distance between (–4, 0) and (–5, –3)
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--5%29%5E2%2B%280--3%29%5E2%29 Plug in x%5B1%5D=-4, x%5B2%5D=-5, y%5B1%5D=0, y%5B2%5D=-3

d=sqrt%28%281%29%5E2%2B%283%29%5E2%29 Evaluate -4--5 to get 1. Evaluate 0--3 to get 3.

d=sqrt%281%2B9%29 Square each value

d=sqrt%2810%29 Add

So the distance approximates to

d=3.16227766016838

which rounds to
3.16

So the distance between (-4,0) and (-5,-3) is approximately 3.16 units