SOLUTION: Find the length of the line segment joining the points R(-2, 7) and T(6, 1). RT =

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Question 937945: Find the length of the line segment joining the points R(-2, 7) and T(6, 1).
RT =
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, 7), we can say (x1, y1) = (-2, 7)
So x%5B1%5D+=+-2, y%5B1%5D+=+7


Since the second point is (6, 1), we can also say (x2, y2) = (6, 1)
So x%5B2%5D+=+6, y%5B2%5D+=+1


Put this all together to get: x%5B1%5D+=+-2, y%5B1%5D+=+7, x%5B2%5D+=+6, and y%5B2%5D+=+1

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Now use the distance formula to find the distance between the two points (-2, 7) and (6, 1)



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+-+6%29%5E2+%2B+%287+-+1%29%5E2%29 Plug in x%5B1%5D+=+-2, y%5B1%5D+=+7, x%5B2%5D+=+6, and y%5B2%5D+=+1


d+=+sqrt%28%28-8%29%5E2+%2B+%286%29%5E2%29


d+=+sqrt%2864+%2B+36%29


d+=+sqrt%28100%29


d+=+10

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Answer:


The distance between the two points (-2, 7) and (6, 1) is exactly 10 units




so, RT+=+10