Find the coordinates of point P that partition AB in the ratio 1:4.

Please give explanation

(1.6, 0)

Step-by-step explanation:

Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.

Use the formuka below to find the coordinates of point P:

Where,

Solve by plugging the above values where necessary as follows:

The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)

a negative exponent is translated as follows:

so, we have