Question

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

Explanation:

Step1: Find the coordinates of \( A \) and \( B \)

From the number - line, the coordinate of \( A\) is \(x_A=-6\), and the coordinate of \( B\) is \(x_B = 8\)

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\). Substitute \(x_1=-6\) and \(x_2 = 8\) into the formula: \(M=\frac{-6 + 8}{2}=\frac{2}{2}=1\)

Step3: Identify the point corresponding to the mid - point

From the number - line, the point with coordinate \(1\) is point \(H\)

Answer:

point \( H \)