SOLUTION: M(1,-2),N(9,13)

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Question 914544: M(1,-2),N(9,13)
Answer by MathLover1(20849) About Me  (Show Source):
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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 (9, 13), we can also say (x2, y2) = (9, 13)
So x%5B2%5D+=+9, y%5B2%5D+=+13


Put this all together to get: x%5B1%5D+=+1, y%5B1%5D+=+-2, x%5B2%5D+=+9, and y%5B2%5D+=+13

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Now use the distance formula to find the distance between the two points (1, -2) and (9, 13)



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+-+9%29%5E2+%2B+%28-2+-+13%29%5E2%29 Plug in x%5B1%5D+=+1, y%5B1%5D+=+-2, x%5B2%5D+=+9, and y%5B2%5D+=+13


d+=+sqrt%28%28-8%29%5E2+%2B+%28-15%29%5E2%29


d+=+sqrt%2864+%2B+225%29


d+=+sqrt%28289%29


d+=+17

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Answer:


The distance between the two points (1, -2) and (9, 13) is exactly 17 units