Question

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?

Answer 1

`\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}`