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Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A (8,6), B(-2,-9); 3 to 2
The coordinates of point P are

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio A 86 B29 3 to 2 The coordinates of point P are class=

Respuesta :

MrRoyal

Answer:

[tex]P = (2,-3)[/tex]

Step-by-step explanation:

Given

[tex]m : n = 3 : 2[/tex]

[tex]A = (8,6)[/tex]

[tex]B = (-2,-9)[/tex]

Required

The coordinate of {

This is calculated as:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex]P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})[/tex]

[tex]P = (\frac{10}{5},\frac{-15}{5})[/tex]

[tex]P = (2,-3)[/tex]

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