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21 votes
21 votes
What are the coordinates of the point on the directed line segment from (−8,−4)(−8,−4) to (−5,8)(−5,8) that partitions the segment into a ratio of 5 to 1?

User Megashigger
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1 Answer

10 votes
10 votes

\begin{gathered} u=(-5,8)-(-8,-4)=(3,12) \\ so\text{ the point that split the segment in ratio of 5 to 1 is} \\ (-8,-4)+(5)/(6)(3,12)=(-(11)/(2),6) \end{gathered}