SOLUTION: Find the distance between the points with the given coordinates(-4,9) and (1,-3)

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Question 316268: Find the distance between the points with the given coordinates(-4,9) and (1,-3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: is the first point . So this means that x%5B1%5D=-4 and y%5B1%5D=9.
Also, is the second point . So this means that x%5B2%5D=1 and y%5B2%5D=-3.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-4-1%29%5E2%2B%289--3%29%5E2%29 Plug in x%5B1%5D=-4, x%5B2%5D=1, y%5B1%5D=9, and y%5B2%5D=-3.


d=sqrt%28%28-5%29%5E2%2B%289--3%29%5E2%29 Subtract 1 from -4 to get -5.


d=sqrt%28%28-5%29%5E2%2B%2812%29%5E2%29 Subtract -3 from 9 to get 12.


d=sqrt%2825%2B%2812%29%5E2%29 Square -5 to get 25.


d=sqrt%2825%2B144%29 Square 12 to get 144.


d=sqrt%28169%29 Add 25 to 144 to get 169.


d=13 Take the square root of 169 to get 13.


So our answer is d=13


So the distance between the two points is 13 units.