Question

find the location of b, the midpoint of (overline{ac}).
number line with a at -7 and c at 1, labeled tick marks from -12 to 12
location of b: (square)

Explanation:

Step1: Identify coordinates of A and C

From the number line, point A is at -7 and point C is at 1.

Step2: Use midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substituting \( x_1 = -7 \) and \( x_2 = 1 \), we get \( \frac{-7 + 1}{2} \).

Step3: Calculate the midpoint

Simplify \( \frac{-7 + 1}{2} = \frac{-6}{2} = -3 \).

Answer:

-3