What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13, –3) (–7, –1) (–5, 0) (17, 11)

I added a screenshot of the complete question.Answer:(-7, -1)Explanation: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 J to K, therefore:First point is J ..........> (x₁ , y₁) is (-15, -5)Second point is K ....> (x₂ , y₂) is (25, 15)m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. Therefore:m = 1 and n = 4Finally, let's substitute with these variables in the equations as follows:[tex]x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1[/tex]Based on the above, the coordinates of point E are (-7, -1)Hope this helps :)