What are the coordinates of the point on the directed line segment from (-4,-9) to (1, 1) that partitions the segment into a ratio of 3 to 2?

(- 1, - 3 )

Step-by-step explanation:

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

Then using the Section formula the coordinates of the point are

( , )

Here (x₁, y₁ ) = (- 4, - 9), (x₂, y₂ ) = (1, 1) and m : n = 3 : 2 , then

( , )

= ( , )

=  ( , )

= ( - 1, - 3 )

(-1 , -3)

Step-by-step explanation

For unknown reason, I can't save the explanation in this space. It's detailed in the attachment

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.