Question

Find the coordinates of point P that partition AB in the

Answer 1

Answer:

(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:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$A(1, -1) = (x_1, y_1)$

$B(4, 4) = (x_2, y_2)$

$m = 1, n = 4$

Solve by plugging the above values where necessary as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{1(4) + 4(1)}{1 + 4}$

$x = \frac{4 + 4}{5}$

$x = \frac{8}{5}$

$x = 1.6$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{1(4) + 4(-1)}{1 + 4}$

$y = \frac{4 - 4}{5}$

$y = \frac{0}{5}$

$y = 0$

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