Question

find the location of b, the midpoint of (overline{ac}). location of b :

Explanation:

Step1: Identify coordinates of A and C

From the number line, point A is at -6 and point C is at 8.

Step2: Use midpoint formula

The midpoint formula between two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substituting \( x_1 = -6 \) and \( x_2 = 8 \), we get \( \frac{-6 + 8}{2} \).

Step3: Calculate the midpoint

Simplify \( \frac{-6 + 8}{2}=\frac{2}{2}=1 \).

Answer:

1