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Find the ratio in which the y-axis divides the line segment joining the points $(5, -6)$ and $(-1, -4)$. Also find the point of intersection.
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Let the ratio be $k:1$ and point on y- axis be $P(0, y)$
$0 = \frac{-k+5}{k+1}$
$k = 5$
Hence, ratio is $5:1$
$y = \frac{-4(5)-6}{5+1} = \frac{-26}{6} = -\frac{13}{3}$
Coordinates of point of intersection are $P(0, -\frac{13}{3})$
$0 = \frac{-k+5}{k+1}$
$k = 5$
Hence, ratio is $5:1$
$y = \frac{-4(5)-6}{5+1} = \frac{-26}{6} = -\frac{13}{3}$
Coordinates of point of intersection are $P(0, -\frac{13}{3})$