In what ratio does y-axis divide the line segment joining the points

Let y-axis divides the line segment joining the points (−4, 7) and (3, −7) in the ratio k : 1. Then

$0=\frac{3 k-4}{k+1}$

$\Rightarrow 3 k=4$

$\Rightarrow k=\frac{4}{3}$

Hence, the required ratio is 4 : 3.