Find the ratio in which the y-axis divides the line segment joining the points $(6, -4)$ and $(-2, -7)$. Also find the point of intersection.

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Step 1: Let the point $P(0, y)$ on y-axis divide the line segment $AB$ in the ratio $K : 1$. Using section formula: $0 = \frac{-2K + 6}{K + 1}$
Step 2: $\Rightarrow -2K + 6 = 0 \Rightarrow K = 3$. Ratio is $3 : 1$.
Step 3: $y = \frac{3(-7) + 1(-4)}{3 + 1} = \frac{-25}{4}$. Point of intersection is $\left(0, \frac{-25}{4}\right)$.

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