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)

(0,1)

Step-by-step explanation:

If and   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 :-

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 :

Hence, the x- and y- coordinates of point E = (0,1)