Question

what is the midpoint of \\( \overline{ad} \\)?

Explanation:

Step1: Determine the coordinates of points A and B

Assume the coordinate of point A is \(x_1=-6\), and the coordinate of point B is \(x_2 = 8\).

Step2: Use the mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) on a number line (where \(y_1 = y_2=0\)) is \(M=\frac{x_1 + x_2}{2}\). Substitute \(x_1=-6\) and \(x_2 = 8\) into the formula: \(M=\frac{-6 + 8}{2}\).

Step3: Calculate the value

\(\frac{-6 + 8}{2}=\frac{2}{2}=1\). Looking at the number line, the point with coordinate \(1\) is point \(L\).

Answer:

point \(L\)