What is the difference between direct and inverse lines?

Direct variation on a graph is represented by a straight line passing through the origin (0,0). This line can either slope upwards, indicating an increasing relationship, or downwards, indicating a decreasing relationship.

The slope of this line determines the rate at which one variable changes in relation to the other. In direct variation, as one variable increases, the other variable increases or decreases at a constant rate, depending on the slope.

Inverse variation, on the other hand, is depicted by two curved lines on a graph. These lines are found in alternating quadrants, meaning one line is in the first and third quadrants, while the other is in the second and fourth quadrants.

Both of these curved lines approach the x and y-axes, but never cross them. This indicates that as one variable increases, the other variable decreases at a varying rate, and vice versa.

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