HELP ME PLEASE!!!!!!!!

Question

What are the coordinates of the point on the directed line segment from (−7,−10) to (7,4) that partitions the segment into a ratio of 5 to 2?

Answer 1

(3,0)

take 5/7 of the difference in x values & y values

-7 to 7 = 14

-10 to 4 = 14

5/7 of 14 = 10

add 10 to (-7,-10) to get (-7+10, 10-10) = (3,0)