Question

Find the coordinates of the point P that lies

Answer 1

The coordinates of point P are: (1/5 , -12/5)

Step-by-step explanation:

Here

R(-3,-4) = (x1,y1)

S(5,0) = (x2,y2)

The ratio is: 2:3

The coordinates of a point that divides the line in ratio m:n are given by:

Let P be the point then

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

Putting values

$(x_P, y_P) = (\frac{(2)(5)+(3)(-3)}{2+3},\frac{(2)(0)+(3)(-4)}{2+3})\\= (\frac{10-9}{5},\frac{0-12}{5})\\=(\frac{1}{5},\frac{-12}{5})$

Hence,

The coordinates of point P are: (1/5 , -12/5)

Keywords: Coordinate geometry

Learn more about coordinate geometry at:

• brainly.com/question/4054269
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