## How can you tell if a graph is direct or inverse?

Direct Variation: The graph for this model has the line passing through the origin with a positive slope. Inverse Variation: The graph for this model is a curve that approaches the x-axis as x increases and approaches the y-axis as x gets closer to zero.

### What does direct and inverse mean on a graph?

Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Inverse variation is exactly opposite to this.

**How do you tell if a graph is an inverse variation?**

An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 . Suppose y varies inversely as x such that xy=3 or y=3x . That graph of this equation shown.

**What is the difference between inverse and direct relationships?**

In a direct relationship, Y increases when X increases. On a graph, a direct relationship always has a positive slope. Inverse relationship: An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.

## What is an example of direct relationship?

an association between two variables such that they rise and fall in value together. For example, the number of hours studied and the level of test performance form a direct relationship in that as the number of study hours increases, the level of performance also increases, and vice versa. 2.

### How do you tell the difference between direct and inverse variation?

For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality.

**What graph shows inverse relationships?**

An inverse relationship on a graph is shown by a negative slope on a linear graph or downward trending curve. An inverse relationship occurs when two variables change in opposite directions. For example, when X increases, Y decreases.

**What is direct variation graph?**

The graph of a direct variation (proportional relationship) is a straight line that passes through the origin. On a direct variation graph, the graph will always pass through (1, k), where k is the constant of proportionality. When x is 1, this also represents the unit rate.

## How do you find direct and inverse variation?

For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. Remember that these problems might use the word ‘proportion’ instead of ‘variation,’ but it means the same thing.

### What graph shows an inverse relationship?

Hyperbola graphs, like the one immediately below, show that the quantities on the graph are in inverse proportion. This graph states, therefore, that A is inversely proportional to B. (It also states that B is inversely proportional to A, but we are going to work with the statement ‘A is inversely proportional to B’.)