On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9). What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (0, 1) (–1, 3) (–2, 5) (1, 0)

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)