Question

the co ordinates of the point p divides the line joining A(4,-5) and B(6,3) in the ratio of 2:5​

Answer 1

Answer:

Refer the attached picture.

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Answer 2

Answer:

The coordinates of point P are

$\sf\:(\:x\:,\:y\:)\:=\:(\:\frac{32}{7}\:,\:-\:\frac{19}{7}\:)$.

Step-by-step-explanation:

NOTE: Kindly refer to the attachment.

Additional Information:

Section Formula:

This formula is used to find the coordinates of a point which divides a line segment in a particular ratio.

This formula is as follows-

$\boxed{\red{\sf\:x\:=\:\dfrac{mx_{2}\:+\:nx_{1}}{m\:+\:n}\:\:x\:=\:\dfrac{my_{2}\:+\:ny_{1}}{m\:+\:n}}}$