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

$(-8,-6)+\frac{5}{7}(7,14)=(-8,-6)+(5,10)=(-3,4)$