SOLUTION: What is the distance between points K(-9,8) and L(-6,0)

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Question 989335: What is the distance between points K(-9,8) and L(-6,0)
Answer by jim_thompson5910(35256) 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 (-9, 8), we can say (x1, y1) = (-9, 8)
So x%5B1%5D+=+-9, y%5B1%5D+=+8


Since the second point is (-6, 0), we can also say (x2, y2) = (-6, 0)
So x%5B2%5D+=+-6, y%5B2%5D+=+0


Put this all together to get: x%5B1%5D+=+-9, y%5B1%5D+=+8, x%5B2%5D+=+-6, and y%5B2%5D+=+0

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Now use the distance formula to find the distance between the two points (-9, 8) and (-6, 0)



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


d+=+sqrt%28%28-3%29%5E2+%2B+%288%29%5E2%29


d+=+sqrt%289+%2B+64%29


d+=+sqrt%2873%29


d+=+8.54400374531753

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Answer:


The distance between the two points (-9, 8) and (-6, 0) is exactly sqrt%2873%29 units


The approximate distance between the two points is about 8.54400374531753 units



So again,


Exact Distance: sqrt%2873%29 units


Approximate Distance: 8.54400374531753 units