SOLUTION: on a coordinate plane what is the distance between (-3 , 2)and (5, -1)

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Question 707787: on a coordinate plane what is the distance between (-3 , 2)and (5, -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 (-3, 2), we can say (x1, y1) = (-3, 2)
So x%5B1%5D+=+-3, y%5B1%5D+=+2


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


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+2, x%5B2%5D+=+5, and y%5B2%5D+=+-1

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Now use the distance formula to find the distance between the two points (-3, 2) and (5, -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%28-3+-+%285%29%29%5E2+%2B+%282+-+%28-1%29%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+2, x%5B2%5D+=+5, and y%5B2%5D+=+-1


d+=+sqrt%28%28-3+-+5%29%5E2+%2B+%282+%2B+1%29%5E2%29


d+=+sqrt%28%28-8%29%5E2+%2B+%283%29%5E2%29


d+=+sqrt%2864+%2B+9%29


d+=+sqrt%2873%29


d+=+8.54400374531753

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Answer:


The distance between the two points (-3, 2) and (5, -1) 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