Question

find the location of y, the midpoint of \\( \overline{xz} \\).
location of y:

Explanation:

Step1: Determine the coordinates of \(X\) and \(Z\)

From the number - line, the coordinate of \(X\) is \(2\), and the coordinate of \(Z\) is \(8\).

Step2: Use the mid - point formula

The mid - point formula for two points \(a\) and \(b\) on a number line is \(M=\frac{a + b}{2}\). Here \(a = 2\) and \(b = 8\), so \(Y=\frac{2+8}{2}\).
Calculate \(\frac{2 + 8}{2}=\frac{10}{2}=5\)

Answer:

\(5\)