No, the slope of 0/5 is not undefined; it is actually 0.
In mathematics, the slope of a line is calculated using the formula: slope = (y2 – y1) / (x2 – x1). This formula represents the change in y (vertical change) over the change in x (horizontal change). A slope is considered undefined when the denominator of this fraction is zero. In other words, if you have a scenario where x2 – x1 = 0, you’re dividing by zero, which leads to an undefined slope.
In the case of 0/5, you are dividing zero by five. Since five is not zero, this computation gives you a defined value. Specifically, 0 divided by any non-zero number is always 0. Thus, the slope in the context of coordinates or graphing would indicate a horizontal line that does not rise or fall.
In summary, 0/5 results in a slope of 0, indicating a perfectly horizontal line.