SOLUTION: Find the distance between (1,-2) and (-4, 3)

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Question 878531: Find the distance between (1,-2) and (-4, 3)
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, -2), we can say (x1, y1) = (1, -2)
So x%5B1%5D+=+1, y%5B1%5D+=+-2


Since the second point is (-4, 3), we can also say (x2, y2) = (-4, 3)
So x%5B2%5D+=+-4, y%5B2%5D+=+3


Put this all together to get: x%5B1%5D+=+1, y%5B1%5D+=+-2, x%5B2%5D+=+-4, and y%5B2%5D+=+3

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Now use the distance formula to find the distance between the two points (1, -2) and (-4, 3)



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


d+=+sqrt%28%281+%2B+4%29%5E2+%2B+%28-2+-+3%29%5E2%29


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


d+=+sqrt%2825+%2B+25%29


d+=+sqrt%2850%29


d+=+sqrt%2825%2A2%29


d+=+sqrt%2825%29%2Asqrt%282%29


d+=+5%2Asqrt%282%29


d+=+7.07106781186548

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Answer:


The distance between the two points (1, -2) and (-4, 3) is exactly 5%2Asqrt%282%29 units


The approximate distance between the two points is about 7.07106781186548 units



So again,


Exact Distance: 5%2Asqrt%282%29 units


Approximate Distance: 7.07106781186548 units