Question

find the coordinate of the midpoint of \\( \overline { a b } \\).

Explanation:

Step1: Identify the coordinates of points A and B

From the number line, the coordinate of point \( A=-3 \) and the coordinate of point \( B = 5 \).

Step2: Use the mid - point formula for a number line

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 \( x_1=-3 \) and \( x_2 = 5 \) into the formula: \( M=\frac{-3 + 5}{2} \).

Step3: Simplify the expression

First, calculate the numerator: \( -3+5 = 2 \).
Then, divide by 2: \( M=\frac{2}{2}=1 \).

Answer:

\( 1 \)