The ratio in which the y-axis divides the line segment joining the points $(-4, 5)$ and $(3, -7)$ is:
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Question

The ratio in which the y-axis divides the line segment joining the points $(-4, 5)$ and $(3, -7)$ is:

Accepted Answer

Let the y-axis divide the segment in the ratio $k:1$. The x-coordinate of the point of division on the y-axis is 0. Using the section formula for x-coordinate: $\frac{k(3) + 1(-4)}{k + 1} = 0 \implies 3k - 4 = 0 \implies 3k = 4 \implies k = \frac{4}{3}$. Thus, the ratio is $4:3$ internally. Therefore, the correct option is C.

Coordinate Geometry

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