To find the length of a line segment with endpoints at 19 and -39, we should calculate the distance between these two points on a number line. The formula to determine the distance between two points is the absolute value of the difference between the two points.
1. First, identify the coordinates of the endpoints:
- Endpoint1: 19
- Endpoint2: -39
2. Calculate the difference between these endpoints:
[tex]\[
\text{Difference} = 19 - (-39)
\][/tex]
3. Simplify the expression inside the parentheses by changing the subtraction of a negative number to addition of a positive number:
[tex]\[
\text{Difference} = 19 + 39
\][/tex]
4. Add the two values:
[tex]\[
19 + 39 = 58
\][/tex]
5. The length of the line segment is the absolute value of the difference calculated. Since the result here is already positive, we don't need to adjust further.
Therefore, the length of the line segment is:
[tex]\[
58
\][/tex]
From the choices provided, the best answer is:
D) 58
