What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? Your (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)

Option (3). (5, 9.2)

Step-by-step explanation:

If Point P divides the line segment QR in the ratio of m : n.

Let the coordinates of the point P are (x, y)

Since coordinates of the point P are given by,

x =

y =

Where and are the ordered pairs representing points Q and R.

If represents (2, 5) and represents (7, 12),

Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.

x =

x =

y =

y =

Therefore, Point P will be represented by (5, 9.2)

Option (3) will be the answer.

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