The graph of inverse proportion is usually a curve that bends towards the origin forming the shape of a hyperbola. If there are any two random points each on the x-axis and y-axis on the inverse proportion graph (x) 1 , (x) 2 , (y) 1 , and (y) 2 , such that (x) 1 < (x) 2 and (y) 1 < (y) 2 , the graph will be shown like this:

Inversely proportional graphs. Inverse proportion is when as one quantity increases the other quantity decreases and vice versa. Inverse proportion is sometimes known as indirect proportion. For example, consider a job such as painting a fence. If the number of workers increases, then the time taken to do the work decreases.

A direct proportional graph is drawn plotting three coordinates. An inverse proportional graph requires more points to give an accurate curve.

What is the value of x when y = 2? Inversely Proportional: when one value decreases at the same rate that the other increases. Speed and travel time are Inversely Proportional because the faster we go the shorter the time. This: y is inversely proportional to x. Is the same thing as: y is directly proportional to 1/x. Which can be written: y = k x.

Jan 19, 2025 · When two quantities have an inverse relationship, when one rises, the other falls, we get a curved graph when we graph this relationship. If y is inversely proportional to x, it is the same as if y is directly proportional to 1 x.

Have you ever wondered why some quantities increase together, while others do the opposite—one goes up while the other comes down? That’s the idea behind direct and inverse proportion. In this article, you’ll learn how to tell them apart, how to represent them using graphs, and how they apply to real-life situations.

Inverse proportion is where the variables move in opposite directions. As one variable increases, the other decreases. And, when one variable decreases, the other increases. The notation and general equation for y being inversely proportional to x are shown below: The graph for inverse proportion is shown below.