Question

given the endpoint (-9,3) and (1,8) partition the segment into the ratio 2:3
​

Answer 1

Answer:

$P = (-5,5)$

Step-by-step explanation:

Let the segments be A and B

$A = (-9,3)$

$B = (1,8)$

$m:n = 2:3$

Required

Determine the endpoints after it is divided into ratios.

Let the point be represented with P

The formula to use is:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Where

$A = (-9,3)$  ----- $(x_1,y_1)$

$B = (1,8)$ ------ $(x_2,y_2)$

So:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

$P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})$

$P = (\frac{-25}{5},\frac{25}{5})$

$P = (-5,5)$