The first formula ((y2-y1)/(x2-x1)) represents the traditional slope definition, while the second formula ((x2-x1)/(y2-y1)) is less common but useful for vertical lines.
The formulas (y2 - y1) / (x2 - x1) and (x2 - x1) / (y2-y1) represent the slope of a line, but they do so in different ways. The first formula, (y2 - y1) / (x2 - x1), represents the change in y divided by the change in x, which is the traditional definition of slope. This formula is commonly used to calculate the slope of a line in linear equations and to determine the direction and steepness of a line.
The second formula, (x2 - x1) / (y2-y1), represents the change in x divided by the change in y. This formula is less commonly used, but it can be useful in situations where the line is more vertical than horizontal. For example, if you are trying to calculate the slope of a line that is almost vertical, the second formula may be more accurate than the first formula.
In general, it is best to use the first formula, (y2 - y1) / (x2 - x1), to calculate the slope of a line. However, the second formula, (x2 - x1) / (y2-y1), can be useful in certain situations.
Question:
The formula for the slope is generally known as (y2 - y1) / (x2 - x1). Just out of curiosity, what difference will it make if I make the formula as (x2 - x1) / (y2-y1)?