SOLUTION: Find the distance between the point (5,3)and(5,-3)

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Question 174187This question is from textbook algebra 1
: Find the distance between the point
(5,3)and(5,-3) This question is from textbook algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You can simply count the spaces between the two points vertically to get 6 units, but here's the formal method to find the distance:




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%285-5%29%5E2%2B%283--3%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=5, y%5B1%5D=3, and y%5B2%5D=-3.


d=sqrt%28%280%29%5E2%2B%283--3%29%5E2%29 Subtract 5 from 5 to get 0.


d=sqrt%28%280%29%5E2%2B%286%29%5E2%29 Subtract -3 from 3 to get 6.


d=sqrt%280%2B%286%29%5E2%29 Square 0 to get 0.


d=sqrt%280%2B36%29 Square 6 to get 36.


d=sqrt%2836%29 Add 0 to 36 to get 36.


d=6 Take the square root of 36 to get 6.


So our answer is d=6


So the distance between the two points is 6 units.