Answer: (0,1)
Step-by-step explanation:
If [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.
Then , the coordinates of (x,y) is given by :-
[tex]x=\dfrac{nx_1+mx_2}{m+n}[/tex]
[tex]y=\dfrac{ny_1+my_2}{m+n}[/tex]
Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).
Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :
[tex]x=\dfrac{2(2)+1(-4)}{1+2}=0[/tex]
[tex]y=\dfrac{2(-3)+1(9)}{1+2=1}[/tex]
Hence, the x- and y- coordinates of point E = (0,1)
