SOLUTION: Using the distance formula, find AB given the following coordinates: A(-2, -3) and B(5, -6).

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Question 1022411: Using the distance formula, find AB given the following coordinates: A(-2, -3) and B(5, -6).
Answer by MathLover1(20850) 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 (-2, -3), we can say (x1, y1) = (-2, -3)
So x%5B1%5D+=+-2, y%5B1%5D+=+-3


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


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

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Now use the distance formula to find the distance between the two points (-2, -3) and (5, -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%28-2+-+%285%29%29%5E2+%2B+%28-3+-+%28-6%29%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+-3, x%5B2%5D+=+5, and y%5B2%5D+=+-6


d+=+sqrt%28%28-2+-+5%29%5E2+%2B+%28-3+%2B+6%29%5E2%29


d+=+sqrt%28%28-7%29%5E2+%2B+%283%29%5E2%29


d+=+sqrt%2849+%2B+9%29


d+=+sqrt%2858%29


d+=+7.61577310586391

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Answer:


The distance between the two points (-2, -3) and (5, -6) is exactly sqrt%2858%29 units


The approximate distance between the two points is about 7.61577310586391 units



So again,


Exact Distance: sqrt%2858%29 units


Approximate Distance: 7.61577310586391 units