The expression “5 0” can be interpreted in two ways: as two separate numbers or as a coordinate pair representing a slope. However, it’s likely you are referring to the slope of a line in the context of coordinate geometry.
In coordinate geometry, slope is calculated as the change in y divided by the change in x, often expressed as:
slope = (y2 – y1) / (x2 – x1)
When you have a vertical line, the change in x (the denominator) is zero. For instance, if you have points like (5, 1) and (5, 3), the slope calculation becomes:
slope = (3 – 1) / (5 – 5) = 2 / 0
Since division by zero is undefined in mathematics, the slope of a vertical line is considered undefined. Therefore, when looking at the context of your question, if “5 0” is intended to relate to a vertical line or if you mean the line passing through a point with a constant x-value, then yes, it is correct to say that the slope is undefined.