Question

find the midpoint, m, of \overline{vw}.

m = \boxed{?}

Explanation:

Step1: Use the midpoint formula

The midpoint formula for two points \(a\) and \(b\) on a number line is \(M=\frac{a + b}{2}\). Here \(a = 6\) and \(b=10\).

Step2: Substitute the values

Substitute \(a = 6\) and \(b = 10\) into the formula: \(M=\frac{6+10}{2}\).

Step3: Calculate the sum

First, calculate \(6 + 10=16\). So the formula becomes \(M=\frac{16}{2}\).

Step4: Calculate the division

Then, calculate \(\frac{16}{2}=8\).

Answer:

\(8\)