SOLUTION: Calculate the distance between the given two points. (-1,-3) and (-4,-8)

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Question 881208: Calculate the distance between the given two points.
(-1,-3) and (-4,-8)
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 (-1, -3), we can say (x1, y1) = (-1, -3)
So x%5B1%5D+=+-1, y%5B1%5D+=+-3


Since the second point is (-4, -8), we can also say (x2, y2) = (-4, -8)
So x%5B2%5D+=+-4, y%5B2%5D+=+-8


Put this all together to get: x%5B1%5D+=+-1, y%5B1%5D+=+-3, x%5B2%5D+=+-4, and y%5B2%5D+=+-8

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Now use the distance formula to find the distance between the two points (-1, -3) and (-4, -8)



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


d+=+sqrt%28%28-1+-+%28-4%29%29%5E2+%2B+%28-3+-+%28-8%29%29%5E2%29 Plug in x%5B1%5D+=+-1, y%5B1%5D+=+-3, x%5B2%5D+=+-4, and y%5B2%5D+=+-8


d+=+sqrt%28%28-1+%2B+4%29%5E2+%2B+%28-3+%2B+8%29%5E2%29


d+=+sqrt%28%283%29%5E2+%2B+%285%29%5E2%29


d+=+sqrt%289+%2B+25%29


d+=+sqrt%2834%29


d+=+5.8309518948453

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Answer:


The distance between the two points (-1, -3) and (-4, -8) is exactly sqrt%2834%29 units


The approximate distance between the two points is about 5.8309518948453 units



So again,


Exact Distance: sqrt%2834%29 units


Approximate Distance: 5.8309518948453 units