Line segment JK is divided by point L in the ratio of 3:2. Endpoint J is at (-16, 2) and point L is at (-15, -20). What are the coordinates of endpoint K?

9514 1404 393

  K(-14 1/3, -34 2/3)

Step-by-step explanation:

The division ratio says ...

  (L -J)/(K -L) = 3/2

  2(L -J) = 3(K -L)

  5L -2J = 3K

  K = (5L -2J)/3

  K = (5(-15, -20) -2(-16, 2))/3 = (-75+32, -100-4)/3 = (-43/3, -104/3)

  K = (-14 1/3, -34 2/3)

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