SOLUTION: Find the distance between the points (-4, -5) and (3, -1).

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Question 885420: Find the distance between the points (-4, -5) and (3, -1).
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 (-4, -5), we can say (x1, y1) = (-4, -5)
So x%5B1%5D+=+-4, y%5B1%5D+=+-5


Since the second point is (3, -1), we can also say (x2, y2) = (3, -1)
So x%5B2%5D+=+3, y%5B2%5D+=+-1


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

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Now use the distance formula to find the distance between the two points (-4, -5) and (3, -1)



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


d+=+sqrt%28%28-4+-+%283%29%29%5E2+%2B+%28-5+-+%28-1%29%29%5E2%29 Plug in x%5B1%5D+=+-4, y%5B1%5D+=+-5, x%5B2%5D+=+3, and y%5B2%5D+=+-1


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


d+=+sqrt%28%28-7%29%5E2+%2B+%28-4%29%5E2%29


d+=+sqrt%2849+%2B+16%29


d+=+sqrt%2865%29


d+=+8.06225774829855

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Answer:


The distance between the two points (-4, -5) and (3, -1) is exactly sqrt%2865%29 units


The approximate distance between the two points is about 8.06225774829855 units



So again,


Exact Distance: sqrt%2865%29 units


Approximate Distance: 8.06225774829855 units