What are the coordinates of the point on the directed line segment from ( − 4 , 4 ) to ( 3 , − 3 ) that partitions the segment into a ratio of 5 to 2?

Answer 1

Let point is (x, y); then (x + 4)/(3 - x)= 5/2 and (y - 4)/(- 3 - y) = 5/2

2x + 8 = 15 - 5x;; 7x = 7; x = 1 2y - 8 = - 15 - 5y; 7y = - 7; y = - 1

Point is (1, - 1)