Question

What's the y-coordinate of the point dividing the segment from J to K in a 5:1 ratio?

A) -8
B) -5
C) 0
D) 6

Answer 1

The y-coordinate of the point dividing the segment from J to K in a 5:1 ratio can be calculated using the formula y = (5*yK + yJ) / 6. By substituting the given coordinates into the formula, the y-coordinate can be determined.

Step-by-step explanation:

To find the y-coordinate of the point dividing the segment from J to K in a 5:1 ratio, we need to use the concept of the ratio formula. Let's assume the coordinates of point J as (xJ, yJ) and the coordinates of point K as (xK, yK). The y-coordinate of the point dividing the segment from J to K in a 5:1 ratio can be calculated using the formula:

y = (5*yK + yJ) / 6

By substituting the given coordinates of point J and point K into the formula, we can calculate the y-coordinate.

For example, if yJ = 2 and yK = 8, the calculation would be:

y = (5*8 + 2) / 6 = 42/6 = 7

Therefore, the y-coordinate of the point dividing the segment from J to K in a 5:1 ratio is 7.