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What are the coordinates of the point on the directed line segment from (-3, -9) to (4,5)

What are the coordinates of the point on the directed line segment from (-3, -9) to-example-1
User Alden
by
7.9k points

1 Answer

2 votes

Answer:

(2, 1 )

Explanation:

Using the Section formula

For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then coordinates of point are

[
(mx_(2)+nx_(1) )/(m+n) ,
(my_(2)+ny_(1) )/(m+n) ]

Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point

= [
(5(4)+2(-3))/(5+2) ,
(5(5)+2(-9))/(5+2) ]

= [
(20-6)/(7) ,
(25-18)/(7) ]

= (
(14)/(7) ,
(7)/(7) )

= (2, 1 )

User ProTom
by
8.7k points

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