The coordinate of point P (x, y) will be (3.6, 0).
Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
On the number line, M is at 0 and N is at 9.
Then the coordinates of the point P on directed line segment MN partitions segment MN such that the ratio of MP to PN is 2:3.
(x₁, y₁) = (0, 0)
(x₂, y₂) = (9, 0)
m = 2
n = 3
Then the coordinate of point P (x, y) will be
x = (2 · 9 + 3 · 0) / (2 + 3)
x = 18 / 5
x = 3.6
y = (2 · 0 + 3 · 0) / (2 + 3)
y = 0 / 5
y = 0
Then the coordinate of point P (x, y) will be (3.6, 0).
More about the section of the line link is given below.
https://brainly.com/question/6582647
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