Question

what is the midpoint of (overline{fb})?

Explanation:

Step1: Find the coordinates of F and B

From the number line, the coordinate of \(F\) is \(-2\) and the coordinate of \(B\) is \(8\).

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\). Here \(x_1=-2\) and \(x_2 = 8\), so \(M=\frac{-2 + 8}{2}=\frac{6}{2}=3\).

Step3: Match the coordinate with the point

From the number line, the point with coordinate \(3\) is \(L\).

Answer:

point L