What point divides the directed line segment ab ⁢ into a 3: 4 ratio? (4, 3) (7, 3) (9, 3) (12, 3) segment a b in the coordinate plane with endpoint a at 1 comma 3 and endpoint b at 15 comma 3.

Therefore, the coordinates of point P(x ,y) are P ( 7 , 3 ) which divides the directed line segment AB into 3 : 4.Step-by-step explanation:

Given:

point A( x₁ , y₁) ≡ ( 0 ,-5)

point B( x₂ , y₂) ≡ (2 , 0)

Let point p( x , y ) divide Line AB in the ratio 3 : 4 i.e m : n

To Find:

P ( x, y ) = ?

Solution:

if point P( x , y) divide segment AB internally in the ratio m : n then the X coordinate and the Y coordinate is given by section formula:

On substituting the above given values in section formula we get

Therefore, the coordinates of point P(x ,y) are P ( 7 , 3 ) which divides the directed line segment AB into 3 : 4.