SOLUTION: find the distance between the points (-5,-3) and (7,6)

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Question 925366: find the distance between the points (-5,-3) and (7,6)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-5, -3), we can say (x1, y1) = (-5, -3)
So x%5B1%5D+=+-5, y%5B1%5D+=+-3


Since the second point is (7, 6), we can also say (x2, y2) = (7, 6)
So x%5B2%5D+=+7, y%5B2%5D+=+6


Put this all together to get: x%5B1%5D+=+-5, y%5B1%5D+=+-3, x%5B2%5D+=+7, and y%5B2%5D+=+6

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Now use the distance formula to find the distance between the two points (-5, -3) and (7, 6)



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


d+=+sqrt%28%28-5+-+7%29%5E2+%2B+%28-3+-+6%29%5E2%29 Plug in x%5B1%5D+=+-5, y%5B1%5D+=+-3, x%5B2%5D+=+7, and y%5B2%5D+=+6


d+=+sqrt%28%28-12%29%5E2+%2B+%28-9%29%5E2%29


d+=+sqrt%28144+%2B+81%29


d+=+sqrt%28225%29


d+=+15

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Answer:


The distance between the two points (-5, -3) and (7, 6) is exactly 15 units