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 slope of the line segment AB?

Options:

Correct Answer: Undefined

Solution:

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

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

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

Step 1: Identify the coordinates of points A and B. Point A is (2, 3) and point B is (2, 7).
Step 2: Look at the x-coordinates of both points. Both A and B have an x-coordinate of 2.
Step 3: Since the x-coordinates are the same, this means the line segment AB is vertical.
Step 4: Understand that the slope of a vertical line is undefined because you cannot divide by zero (the change in x is 0).
Step 5: Conclude that the slope of the line segment AB is undefined.

Slope of a Line – The slope of a line is calculated as the change in y divided by the change in x (rise over run). If the x-coordinates of two points are the same, the slope is undefined, indicating a vertical line.