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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