If the coordinates of points A(1, 2) and B(1, 5) are given, what is the slope of

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Question: If the coordinates of points A(1, 2) and B(1, 5) are given, what is the slope of line AB?

Options:

Correct Answer: Undefined

Solution:

The slope is calculated as (y2 - y1) / (x2 - x1). Here, it is (5 - 2) / (1 - 1), which is undefined.

If the coordinates of points A(1, 2) and B(1, 5) are given, what is the slope of line AB?

If the coordinates of points A(1, 2) and B(1, 5) are given, what is the slope of line AB?

Step 1: Identify the coordinates of points A and B. A is (1, 2) and B is (1, 5).
Step 2: Label the coordinates. For point A, x1 = 1 and y1 = 2. For point B, x2 = 1 and y2 = 5.
Step 3: Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula: slope = (5 - 2) / (1 - 1).
Step 5: Calculate the difference in y-coordinates: 5 - 2 = 3.
Step 6: Calculate the difference in x-coordinates: 1 - 1 = 0.
Step 7: Now, the slope is 3 / 0.
Step 8: Since you cannot divide by zero, 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.
Undefined Slope – A slope is considered undefined when the change in x (denominator) is zero, indicating a vertical line.