Answer:
The coordinates of the point Q = (x,y) =(0.2,-2.4)
Step-by-step explanation:
The section formula, (x,y) is the coordinate on line joining two points [tex] (x_1,y_1) , (x_2,y_2)[/tex] in the ratio of m is to n.
[tex]x=\frac{x_1\times n+x_2\times m}{m+n}[/tex]
[tex]y=\frac{y_1\times n+y_2\times m}{m+n}[/tex]
Given the points M (-3,-4) and T (5,0) , on this line joining these point there was another point Q which divides into ratio of 2:3.
[tex] (x_1,y_1) , (x_2,y_2)=(-3,-4) , (5,0)[/tex]
The coordinates of the point Q = (x,y)
m = 2 , n = 3
[tex]x=\frac{-3\times 3+5\times 2}{2+3}[/tex]
[tex]x=\frac{1}{5}=0.2[/tex]
[tex]y=\frac{-4\times 3+0\times 2}{2+3}[/tex]
[tex]y=\frac{-12}{5}=-2.4[/tex]
The coordinates of the point Q = (x,y) = [tex](\frac{1}{5},\frac{-12}{5})=(0.2,-2.4)[/tex]
