Directed line segment PT has endpoints whose coordinates are P(-2, 1) and 1(4,7). Determine
the coordinates of pointſ that divides the segment
in the ratio 2 to 1.

  Coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

   Given in the question,

   If the endpoints of a segment PQ have been given as and and a point divides this segment in the ratio of m : n,

    If the extreme ends of a segment PT are and and a point (h, k) divides this segment in ratio of 2 : 1,

   Therefore, coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

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(2 , 5)

Step-by-step explanation:

point (x,y) that divides the segment   PI in the ratio 2 to 1

PD=4 - (-2) = 6     PE/ED=2/1     PE=2ED      PE+ED=6    3ED=6    ED=2   PE=4

coordinate of E (2,1)   2 is x coordinate of E

DI=7-1=6    DF/FI=2/1     DF=4

coordinate of F (4,5)   5 is y coordinate of E

CF // PD            PC/CI=DF/FI=2/1

C (2,5)

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step-by-step explanation: