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

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Question: If the coordinates of point A are (2, 3) and point B are (2, 7), what is the slope of line AB?

Options:

Correct Answer: Undefined

Solution:

The slope is calculated as (y2 - y1) / (x2 - x1). Here, it is (7 - 3) / (2 - 2), which is undefined since the denominator is 0.

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

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

Step 1: Identify the coordinates of point A, which are (2, 3). This means x1 = 2 and y1 = 3.
Step 2: Identify the coordinates of point B, which are (2, 7). This means x2 = 2 and y2 = 7.
Step 3: Use the slope formula, which is (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula: (7 - 3) / (2 - 2).
Step 5: Calculate the numerator: 7 - 3 = 4.
Step 6: Calculate the denominator: 2 - 2 = 0.
Step 7: Since the denominator is 0, the slope is undefined.

Slope of a Line – The slope of a line is calculated using the formula (y2 - y1) / (x2 - x1), which represents the change in y over the change in x.
Vertical Lines – A vertical line has an undefined slope because the x-coordinates are the same, leading to a division by zero.