The directed line segment,  ab¯, contains the points a(−2,6)   and b(4,−6). what are the coordinates of the point that partitions ab¯  according to the part-to-part ratio 2: 4?

The coordinate of the point is; (0,2)

Step-by-step explanation:

The given line segment has points with coordinates  A(−2,6)

and B(4,−6).

We want to find a point (x,y) that divides this line segment in the ratio:

m:n=2:4

The x-coordinate of this point is given by;

We substitute

The y-coordinate of this point is given by;

We substitute

The coordinate of the point is; (0,2)