Question

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)

Answer 1

we have the following:

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

The answer is (-7, 4)