Question

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

Explanation:

Step1: Determine the coordinates of B and F

From the number line, the coordinate of \(B=-5\) and the coordinate of \(F = 5\).

Step2: Use the section formula

If a point \(X\) divides the line - segment joining \(B(x_1)\) and \(F(x_2)\) in the ratio \(m:n\), the coordinate of \(X\) is given by \(x=\frac{mx_2+nx_1}{m + n}\). Here, \(m = 3\), \(n=2\), \(x_1=-5\), \(x_2 = 5\).
Substitute the values into the formula:

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Answer:

\(1\)