If the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is

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Question: If the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the length of line segment AB?

Options:

Correct Answer: 4

Solution:

The length of line segment AB is the difference in the y-coordinates: |7 - 3| = 4.

If the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the length of line segment AB?

If the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the length of line segment AB?

Step 1: Identify the coordinates of point A, which are (2, 3). This means A has an x-coordinate of 2 and a y-coordinate of 3.
Step 2: Identify the coordinates of point B, which are (2, 7). This means B has an x-coordinate of 2 and a y-coordinate of 7.
Step 3: Notice that both points A and B have the same x-coordinate (2). This means they are vertically aligned on the graph.
Step 4: To find the length of line segment AB, we only need to look at the difference in their y-coordinates.
Step 5: Calculate the difference in the y-coordinates: 7 (from point B) - 3 (from point A) = 4.
Step 6: The absolute value of the difference is |7 - 3| = 4, which is the length of line segment AB.

Distance between two points – The length of a line segment between two points in a Cartesian plane can be calculated using the difference in their coordinates.
Vertical line segments – When two points have the same x-coordinate, the length of the segment is determined solely by the difference in their y-coordinates.