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? m Y 1 77](V₂ − V₁] + V₁ m+n -8 -5 0 6​

Answer 1

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

How to carry out division of line segments?

From the attached line segment graph, we see the coordinates as;

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;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

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.

Read more about division of line segments at; brainly.com/question/17374569

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