Question

find the location of x, the midpoint of \overline{wy}.

Explanation:

Step1: Identify the coordinates of \(W\) and \(Y\)

The coordinate of \(W\) is \(w=-11\), and the coordinate of \(Y\) is \(y = - 1\).

Step2: Use the mid - point formula

The mid - point formula for two points \(a\) and \(b\) on the number line is \(x=\frac{a + b}{2}\). Here, \(x=\frac{w + y}{2}\). Substitute \(w=-11\) and \(y=-1\) into the formula: \(x=\frac{-11+( - 1)}{2}=\frac{-11 - 1}{2}\).

Step3: Simplify the expression

\(\frac{-11 - 1}{2}=\frac{-12}{2}=-6\)

Answer:

\(-6\)