Directed Line Segments and Modeling Answers

What is the location of point F, which partitions the directed line segment from D to E into a 4:5 ratio?

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

-20/7-4/7✔ 4/7X 20/7