Question

what is the midpoint of ab?
point f
point g
point h
point i

Explanation:

Step1: Find the coordinates of A and B

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

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: Match the mid - point with the points on the number line

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

Answer:

point I