refer to the number line. find the coordinate of point x such that the ratio of bx to xf is 3:2.

Explanation:

Step1: Identify the coordinates of B and F

The coordinate of B is - 5 and the coordinate of F is 5.

Step2: Use the section - formula for a one - dimensional number line

The formula to find the coordinate of a point X that divides the line - segment joining two points (x_1) and (x_2) in the ratio (m:n) is (x=\frac{mx_2+nx_1}{m + n}). Here, (x_1=-5) (coordinate of B), (x_2 = 5) (coordinate of F), (m = 3), and (n = 2). [x=\frac{3\times5+2\times(-5)}{3 + 2}]

Step3: Simplify the expression

First, calculate the numerator: (3\times5+2\times(-5)=15-10 = 5). Then, the denominator is (3 + 2=5). So, (x=\frac{5}{5}=1).

Answer:

1