Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
The x-value of C is -0.6.
Therefore, the correct option is B.