I added a screenshot of the complete question.
<u><em>Answer:</em></u>
(-7, -1)
<u><em>Explanation:</em></u>
<u>The formulas given to calculated the x and y coordinates are as follows:</u>
<u>Let's define the variables used:</u>
(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.
<u>We are given that the segment is directed from J to K, therefore:</u>
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. <u>Therefore:</u>
m = 1 and n = 4
<u>Finally, let's substitute with these variables in the equations as follows:</u>
Based on the above, the coordinates of point E are (-7, -1)
Hope this helps :)
