What is the location of point F, which partitions the directed line segment from D to E into a 4:5 ratio? –3 0 1 4

You haven't provided the coordinates of points D and E, therefore, I can only help with the concept.I'll tell you how to solve such problem and you substitute in the equation with the numbers you have.The formulas given to calculated the x and y coordinates are as follows:[tex]x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}[/tex]Let's define the variables used:(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.We are given that the segment is directed from D to E, therefore:First point is D ..........> (x₁ , y₁) are coordinates of point DSecond point is E ....> (x₂ , y₂) are coordinates of point Em and n defined the portion of the partitioned segment (DF : FE). It is given that this ratio is 4:5. Therefore:m = 4 and n = 5Substitute the values in the above equation and you'll get your answer.Hope this helps :)