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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
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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)

laugh  !

 Mar 23, 2020
edited by asinus  Mar 23, 2020

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