Question

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

Explanation:

Step1: Recall the midpoint formula

The midpoint formula for a number line is \(M=\frac{a + b}{2}\), where \(a\) and \(b\) are the coordinates of the endpoints. Here \(a = 6\) and \(b=32\).

Step2: Substitute the values into the formula

Substitute \(a = 6\) and \(b = 32\) into \(M=\frac{a + b}{2}\), we get \(M=\frac{6+32}{2}\).

Step3: Calculate the sum in the numerator

First, calculate \(6 + 32=38\). So the formula becomes \(M=\frac{38}{2}\).

Step4: Perform the division

\(\frac{38}{2}=19\).

Answer:

\(19\)