Answer:
Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is

Step-by-step explanation:
Given:
Let point P divides Segment AB in the ratio 2 : 3
point A( x₁ , y₁) ≡ ( -2 , 9 )
point B( x₂ , y₂) ≡ ( -1 , -4 )
m : n = 2 : 3
To Find:
P( x, y ) = ?
Solution:
Ia a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

Substituting the values we get


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

1.
15h = 75
15h/15 = 75/15
h = 5
2.
-d = -6
-d(-1) = -6(-1)
d = 6
3.
5k = 25
5k/5 = 25/5
k = 5
4.
13 = -x/2
-x/2 = 13
-x/2 * (-2) = 13 * (-2)
x = -26
Answer: -1.5, -1, -1/2, 1/4
Step-by-step explanation:
Answer: 169
Step-by-step explanation:
You just multiply 13 by 13