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# help

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Find the coordinates of P so that P partitions the directed segment AB in the ratio 5:1 if A(2, 4) and B(8, 10).

Mar 23, 2020

#1
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Find the coordinates of P so that P partitions the directed segment AB in the ratio 5:1 if A(2, 4) and B(8, 10).

Hello Guest!

$$y=\frac{y_B-y_A}{x_B-x_A}\cdot(x-x_A)+y_A$$

$$y=\frac{10-4}{8-2}\cdot (x-2)+4\\$$

$$y=x+2$$

$$x_P=x_A+\frac{5}{6}\cdot (x_B-x_A)\\ x_P=2+\frac{5}{6}\cdot (8-2)\\ \color{blue}x_P=7$$

$$y_P=x_P+2=7+2$$

$$y_P=9$$

The coordinates of P are  P(7, 9)

!

Mar 23, 2020
edited by asinus  Mar 23, 2020