What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?

What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?

(3, 13)

(9/3, 13)

(2, 12)

(3, 19)

Respuesta :

Answer: (3, 13)

Step-by-step explanation:

If we let the point be P, then AP:BP=2:1.

[tex]P=\left(\frac{(2)(3)+(1)(3)}{2+1}, \frac{(2)(19)+(1)(1)}{2+1} \right)=(3, 13)[/tex]

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