Respuesta :

Answer:

The coordinates of point P are [tex]\left(\dfrac{-1}{10},\dfrac{-37}{10}\right)[/tex]

Step-by-step explanation:

The Coordinates of point A are (-4,-7), and the coordinates of point B are (9,4).

Let us assume that the coordinates of point [tex]\dfrac{3}{10}[/tex] of the way from A to B are P(x,y).

Now,

Applying the section formula,

[tex]x=\dfrac{3 \times 9+7 \times -4}{3+7}\\x=\dfrac{27 -28}{10}\\x=\dfrac{-1}{10}[/tex]

[tex]y=\dfrac{3 \times 4+7 \times -7}{3+7}\\y=\dfrac{12 -49}{10}\\y=\dfrac{-37}{10}[/tex]

Therefore, the coordinates of point P are [tex]\left(\dfrac{-1}{10},\dfrac{-37}{10}\right)[/tex]

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