Question

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1?

a) -8
b) -5
c) -2
d) -3

Answer 1

The y-coordinate of the point that divides the line segment from J to K into a ratio of 5:1 is approximately -8.33.

Step-by-step explanation:

To find the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1, we use the concept of section formula. The formula is:

y = (y1*m + y2*n) / (m + n)

Here, y1 and y2 are the y-coordinates of the points J and K respectively, and m and n are the ratio values (5 and 1 in this case). We can substitute the values into the formula to find the y-coordinate:

y = (-8*5 + (-2)*1) / (5 + 1) = -50 / 6 = -8.33

Therefore, the y-coordinate of the point that divides the line segment from J to K into a ratio of 5:1 is approximately -8.33.