SOLUTION: If the line h passes through the two points (1, 2) and (3, 6) What is the distance between the two points?

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Question 777771: If the line h passes through the two points (1, 2) and (3, 6) What is the distance between the two points?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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Solved by pluggable solver: Distance Formula


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


Since the first point is (1, 2), we can say (x1, y1) = (1, 2)
So x%5B1%5D+=+1, y%5B1%5D+=+2


Since the second point is (3, 6), we can also say (x2, y2) = (3, 6)
So x%5B2%5D+=+3, y%5B2%5D+=+6


Put this all together to get: x%5B1%5D+=+1, y%5B1%5D+=+2, x%5B2%5D+=+3, and y%5B2%5D+=+6

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Now use the distance formula to find the distance between the two points (1, 2) and (3, 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%281+-+3%29%5E2+%2B+%282+-+6%29%5E2%29 Plug in x%5B1%5D+=+1, y%5B1%5D+=+2, x%5B2%5D+=+3, and y%5B2%5D+=+6


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


d+=+sqrt%284+%2B+16%29


d+=+sqrt%2820%29


d+=+sqrt%284%2A5%29


d+=+sqrt%284%29%2Asqrt%285%29


d+=+2%2Asqrt%285%29


d+=+4.47213595499958

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Answer:


The distance between the two points (1, 2) and (3, 6) is exactly 2%2Asqrt%285%29 units


The approximate distance between the two points is about 4.47213595499958 units



So again,


Exact Distance: 2%2Asqrt%285%29 units


Approximate Distance: 4.47213595499958 units