Question

what is the midpoint of \overline{ab}?
point f
point g
point h
point i

Explanation:

Step1: Find the coordinates of points A and B

From the number - line, 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 \(x_1\) 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 coordinate

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

Answer:

point G