What are the coordinates of the point on the directed line segment from (-4, - 7) to
(-3,1) that partitions the segment into a ratio of 2 to 3?

The coordinates of the point on the directed line segment from (-4, - 7) to

(-3,1) that partitions the segment into a ratio of 2 to 3 is

or

∴ PointP( x , y ) = ( -3.6, -3.8)

Step-by-step explanation:

Let he points be,

point A( x₁ , y₁) ≡ ( -4 ,-7)

point B( x₂ , y₂) ≡ (-3 , 1)

and Point P( x , y ) be the point on the line Segment AB Divides AB internally in the ratio 2 : 3 i. e m : n

To Find:

Point P( x , y ) = ?

Solution:

IF 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 Given values we get

∴ PointP( x , y ) = ( -3.6, -3.8)

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.