No, 0/2 is not an undefined slope. In mathematics, the slope of a line is calculated using the formula:
Slope (m) = (y₂ – y₁) / (x₂ – x₁)
When the denominator (x₂ – x₁) is zero, the slope is considered undefined because division by zero is not allowed in mathematics. However, in the case of 0/2, the denominator is 2, which is not zero. Therefore, the slope is 0, indicating a horizontal line.
Here’s a breakdown:
- Numerator (y₂ – y₁) = 0: This means there is no vertical change between the two points.
- Denominator (x₂ – x₁) = 2: This means there is a horizontal change of 2 units between the two points.
Since the denominator is not zero, the slope is defined and equals 0. This represents a horizontal line, where the y-values remain constant regardless of the x-values.