SOLUTION: How long is the line that joins the two points A(–3, –7) and B(4, 6)?

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Question 795607: How long is the line that joins the two points A(–3, –7) and B(4, 6)?
Answer by MathLover1(20849) 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, -7), we can say (x1, y1) = (-3, -7)
So x%5B1%5D+=+-3, y%5B1%5D+=+-7


Since the second point is (4, 6), we can also say (x2, y2) = (4, 6)
So x%5B2%5D+=+4, y%5B2%5D+=+6


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+-7, x%5B2%5D+=+4, and y%5B2%5D+=+6

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Now use the distance formula to find the distance between the two points (-3, -7) and (4, 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%28-3+-+4%29%5E2+%2B+%28-7+-+6%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+-7, x%5B2%5D+=+4, and y%5B2%5D+=+6


d+=+sqrt%28%28-7%29%5E2+%2B+%28-13%29%5E2%29


d+=+sqrt%2849+%2B+169%29


d+=+sqrt%28218%29


d+=+14.7648230602334

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Answer:


The distance between the two points (-3, -7) and (4, 6) is exactly sqrt%28218%29 units


The approximate distance between the two points is about 14.7648230602334 units



So again,


Exact Distance: sqrt%28218%29 units


Approximate Distance: 14.7648230602334 units