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

(2, 1 )

Step-by-step explanation:

Using the Section formula

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

Then coordinates of point are

[ , ]

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

= [ , ]

= [ , ]

= ( , )

= (2, 1 )