77
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.
Show SolutionHide Solution↓
Let the ratio be $k:1$ and point on y-axis be $P(0, y)$. $0 = \frac{-k + 5}{k + 1} \implies k = 5$. Hence, ratio is $5:1$. $y = \frac{-4(5) - 6}{5 + 1} = \frac{-26}{6} = \frac{-13}{3}$. Coordinates of point of intersection are $P(0, -\frac{13}{3})$.