Question

What are the coordinates of the point on the directed line segment from (-8,-6) to (-1,8) that partitions the segment into a ratio of 5 to 2?

Answer 1

We have that the vector is

`(-1--8,8--6)=(7,14)`

so we have that the coordinates are

`(-8,-6)+(5)/(7)(7,14)=(-8,-6)+(5,10)=(-3,4)`