Question

5. Find the ratio in which the Y-axis divides the line segment joining the points (5,-6) and (-1,-4).
(3 Points)
O 2:1
01:5
O 3:1
5:1​

Answer 1

If the line is divided by Y-axis the value of x = 0

$x = \frac{mx2 + nx1}{m + n} \\ \\ 0 = \frac{m \times - 1 + n \times 5}{m + n} \\ \\ 0(m + n) = - 1m + 5n \\ 1m = 5n \\ \frac{m}{n} = \frac{5}{1}$

m:n = 5:1