Question

3.

Answer 1

Answer:

$M(x,y) = (4.8,4.4)$

Step-by-step explanation:

Given

$P(x_1,y_1) = (6,2)$

$Q(x_2,y_2) = (3,8)$

$m:n = PM:MQ = 3 : 2$

Required

Determine the coordinates of M

To solve this, we make use of the following partition formula:

$M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})$

Substitute values for m, n, x's and y's

$M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})$

$M(x,y) = (\frac{24}{5},\frac{22}{5})$

$M(x,y) = (4.8,4.4)$

Option D is correct