In what ratio does the y-axis divide the line segment joining the points (-4,5) and (3,-7).

Let y-axis divides the line segment joining P ( – 4, 5) and Q (3, – 7) in the ratio k : 1.

Coordinates of point of intersection of line segment PQ and y-axis

On the y-axis, x = 0.

x-coordinate of point of intersection of line segment PQ and y-axis = 0

⇒ 3 k – 4 = 0

Thus, y-axis divides the line segment PQ in the ratio 4 : 3.

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