What is "if y varies directly as x?

In mathematics, if a variable y varies directly as x, it means that y is directly proportional to x. This relationship is represented by the equation: y = kx, where k is the constant of variation.

In simple terms, this means that as the value of x increases, the value of y also increases at a constant rate. Similarly, if x decreases, y will also decrease proportionally.

The graph of a direct variation is a straight line passing through the origin (0,0) with a positive slope. This slope represents the constant of variation, k.

Direct variation is commonly observed in real-world situations, such as in physics (e.g., force and acceleration) and economics (e.g., cost and quantity of goods sold). It is a fundamental concept in Algebra and can be used to model and analyze relationships between variables.