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
[tex](x_P, y_P) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
Putting values
[tex](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})[/tex]
Hence,
The coordinates of point P are: (1/5 , -12/5)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
- brainly.com/question/4054269
- brainly.com/question/4163549
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