# Find the coordinates of the point P that liesalong the directed segment from R(-3,-4)to S(5,0) and partitions the segment in theratio 2 to 3.

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The coordinates of point P are: (1/5 , -12/5)Step-by-step explanation:HereR(-3,-4) = (x1,y1)S(5,0) = (x2,y2)The ratio is: 2:3The 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 geometryLearn more about coordinate geometry at:brainly.com/question/4054269brainly.com/question/4163549#LearnwithBrainly
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