Question

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(−2, −8), B(18, 2); 3 to 2

The coordinates of point P are
PLEASE HELP!!!!

Answer 1

The coordinates of point P are: (10-2)

Step-by-step explanation:

The formula for coordinates of a point P that divides a given line segment with end-points (x1,y1) and (x2,y2) in ratio m:n are given by:

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

Given

$A(-2,-8) = (x_1,y_1)\\B(18,2) = (x_2,y_2)\\And\\m:n = 3:2=> m=3\ and\ n=2$

Putting the values in the formula

$P(x,y) = (\frac{(2)(-2)+(3)(18)}{3+2} , \frac{(2)(-8)+(3)(2)}{3+2})\\P(x,y) = (\frac{-4+54}{5} , \frac{-16+6}{5})\\P(x,y) = (\frac{50}{5} , \frac{-10}{5})\\P(x,y) = (10 , -2)$

Hence,

The coordinates of point P are: (10-2)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

• brainly.com/question/4460262
• brainly.com/question/4464845

#LearnwithBrainly