A directed segment ¯¯¯¯¯¯¯ S T is partitioned from S ( − 5 , 0 ) to T ( 20 , 25 ) in a 3 2 ratio at point M . What are the coordinates of M ? ( − 15 , − 10 ) ( − 15 , − 10 ) ( 5 , 15 ) ( 5 , 15 ) ( 10 , 15 ) ( 10 , 15 ) ( 15 , 5 ) ( 15 , 5 )

( 10 , 15 )

Explanation:

If two points form a line segment AB and is divided in the ratio of m:n by a point O(x, y). The coordinates of point O is calculated as follows:

Given Segment ST from  S(−5 , 0 ) to T(20, 25 ) divided in a 3:2 ratio by point M. Let us assume the coordinates of M is at (x, y), then:

The coordinate of M is at (10, 15)

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