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

Answer-

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Solution-

Given J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1

From the properties of coordinate geometry we know that,

The coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are

Now, putting the respective values,

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is

Further explanation:

The coordinates of point that divides the line segment into ratio can be obtained as follows,

Given:

Explanation:

The coordinate of point J is

The coordinate of point K is

Consider the point that divides the line segment into ratio as

The coordinates of point that divides the line segment into ratio can be calculated as follows,

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: y-coordinate, point, divides the directed line, line segment, J to K, ratio, 2:3 ratio, -6, coordinates.

9x

the answer is d

hope this