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The point K lies on the segment JL. Find the coordinates of K so that the ratio of JK to KL is 5 to 4. (-19, 12) K (?, ?) Coordinates of K : OD 1 (8,-6)

Sagot :

we have the following:

[tex]\begin{gathered} x_1+\frac{4}{5+4}\cdot(x_2-x_1) \\ y_1_{}+\frac{4}{5+4}\cdot(y_2-y_1) \\ -19_{}+\frac{4}{9}\cdot(8_{}-(-19)_{})=-7 \\ 12_{}+\frac{4}{9}\cdot(-6_{}-12)=4 \\ K(-7,4) \end{gathered}[/tex]

The answer is (-7, 4)

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