SOLUTION: find the distance between (9, -7) and (5, -4)

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Question 1163579: find the distance between (9, -7) and (5, -4)
Answer by ikleyn(52752) About Me  (Show Source):
You can put this solution on YOUR website!
.

Apply the distance formula


    d = sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2+%2B+%28y%5B2%5D-y%5B1%5D%29%5E2%29.


In your case  (x%5B1%5D,y%5B1%5D) = (9,-7),  (x%5B2%5D,y%5B2%5D) = (5,-4).


THEREFORE,


    d = sqrt%28%285-9%29%5E2%2B%28%28-4%29-%28-7%29%29%5E2%29 = sqrt%28%28-4%29%5E2+%2B+3%5E2%29 = sqrt%2816%2B9%29 = sqrt%2825%29 = 5.


ANSWER.  The distance between two given points is 5 units.

Solved.

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Memorize the formula and the way on how it works.

You will see and use this formula hundreds of times in your life.