Question

find the location of n, the midpoint of \\( \overline { m p } \\).
location of n :

Explanation:

Step1: Determine the coordinates of M and P

From the number line, the coordinate of \(M\) is \(-2\) and the coordinate of \(P\) is \(6\).

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(N=\frac{x_1 + x_2}{2}\). Substitute \(x_1=-2\) and \(x_2 = 6\) into the formula: \(N=\frac{-2+6}{2}\).

Step3: Simplify the expression

First, calculate the numerator: \(-2 + 6=4\). Then, divide by \(2\): \(\frac{4}{2}=2\).

Answer:

\(2\)