Question

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What are the coordinates of the point on the directed line segment from (−6,−6) to (9,−1) that partitions the segment into a ratio of 2 to 3?

Answer 1

(0, - 4)

Explanation:

( - 6, - 6) , (9, - 1)

2 : 3

2 + 3 = 5

9 - ( - 6) = 15

15 ÷ 5 × 2 = 6

"x" coordinate is 0 (- 6 + 6 = 0)

5 ÷ 5 × 2 = 2

"y" coordinate is - 4 ( - 6 + 2 = - 4)

(0, - 4)