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Section formula (intermediate)

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Problem

Points P, Q, R and S, in that order, divide a line segment AB into 5 equal parts.
A lies at (1,2) and B lies at (6,7).
P is closest to A.
Find the coordinates of P.
P=(
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
,
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
)
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