Given directed line segment JL below, find the coordinates of K such that the ratio of JK to JL is 7:8. Plot point K.

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right