Final answer:
c. 3 giving a resulting length of 3 units, as calculated by |(-9) - (-6)| = 3. This method applies the principles of absolute difference to establish the distance between points on a number line, providing a clear and precise measurement of segment AB's length."
Step-by-step explanation:
The length of segment AB can be found using the absolute difference between the coordinates of points A and B on a number line. Given the points' positions at -9 and -6, the absolute difference between them is |(-9) - (-6)| = 3. Therefore, the length of segment AB is 3 units.
The distance between two points on a number line is calculated by finding the absolute difference between their coordinates. In this case, the coordinates of points A and B are -9 and -6, respectively. To find the length of segment AB, we subtract the coordinates: |-9 - (-6)| = 3. The absolute value is used to ensure the result is positive, indicating distance. Thus, the length of the segment between points A and B is 3 units.
Understanding the concept of finding distance on a number line helps determine the length between two points by simply subtracting their coordinates and taking the absolute value. In this scenario, the coordinates -9 and -6 represent the endpoints of segment AB, giving a resulting length of 3 units, as calculated by |(-9) - (-6)| = 3. This method applies the principles of absolute difference to establish the distance between points on a number line, providing a clear and precise measurement of segment AB's length."