Question

what is the mid - point 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 \(-6\) and the coordinate of point \(B\) 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 \(M=\frac{x_1 + x_2}{2}\).
Substitute \(x_1=-6\) and \(x_2 = 8\) into the formula: \(M=\frac{-6 + 8}{2}=\frac{2}{2}=1\).

Step3: Match the coordinate with the point

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

Answer:

point \(G\)