SOLUTION: What is the distance of the line segment connecting A(-2,4) and B (6,10) thank you

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Question 422495: What is the distance of the line segment connecting A(-2,4) and B (6,10)
thank you
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=-2 and y%5B1%5D=4.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=10.


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%28-2-6%29%5E2%2B%284-10%29%5E2%29 Plug in x%5B1%5D=-2, x%5B2%5D=6, y%5B1%5D=4, and y%5B2%5D=10.


d=sqrt%28%28-8%29%5E2%2B%284-10%29%5E2%29 Subtract 6 from -2 to get -8.


d=sqrt%28%28-8%29%5E2%2B%28-6%29%5E2%29 Subtract 10 from 4 to get -6.


d=sqrt%2864%2B%28-6%29%5E2%29 Square -8 to get 64.


d=sqrt%2864%2B36%29 Square -6 to get 36.


d=sqrt%28100%29 Add 64 to 36 to get 100.


d=10 Take the square root of 100 to get 10.


So our answer is d=10


So the distance between the two points is 10 units.


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