SOLUTION: I need assistance finding the answer for A(-3,1), B(7,13). I need to find the distance between each pair of points.

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Question 649314: I need assistance finding the answer for A(-3,1), B(7,13). I need to find the distance between each pair of points.
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=-3 and y%5B1%5D=1.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=13.


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%28-3-7%29%5E2%2B%281-13%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=7, y%5B1%5D=1, and y%5B2%5D=13.


d=sqrt%28%28-10%29%5E2%2B%281-13%29%5E2%29 Subtract 7 from -3 to get -10.


d=sqrt%28%28-10%29%5E2%2B%28-12%29%5E2%29 Subtract 13 from 1 to get -12.


d=sqrt%28100%2B%28-12%29%5E2%29 Square -10 to get 100.


d=sqrt%28100%2B144%29 Square -12 to get 144.


d=sqrt%28244%29 Add 100 to 144 to get 244.


d=2%2Asqrt%2861%29 Simplify the square root.


So the exact distance is d=2%2Asqrt%2861%29


Which approximates to d=15.62