Discussion

Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4).

Answer: B

Let the y-axis divide the line segment in the ratio k:1. Any point on the y-axis has its x-coordinate as 0.

Using the section formula for the x-coordinate:

x = \(\frac{kx_2 + 1x_1}{k+1}\)

0 = \(\frac{k(-1) + 1(5)}{k+1}\)

0 = -k + 5

k = 5.

The ratio is k:1, which is 5:1.

No comment is present. Be the first to comment.

Loading…