What is indicated by indirect variation?

Indirect variation, also known as inverse variation, occurs when one variable increases while another variable decreases in such a way that their product remains constant. This relationship can be mathematically represented by the formula y = k/x, where k is a constant.

In this context, as the value of x increases, the value of y decreases, and vice versa, maintaining the product of k. This is a defining characteristic of indirect variation, distinguishing it from direct variation, where the variables change together proportionally.

The other expressions provided in the options represent different types of relationships that do not capture the essence of indirect variation. The linear equation y = mx + b describes a direct linear relationship, while y = kx represents direct variation where both variables move in the same direction. The expression y - y1 = m(x - x1) is the point-slope form of the linear equation for direct relationships. Thus, the correct representation of indirect variation is indeed y = k/x.