Which of the following represents a direct relationship in graphs?

A direct relationship in graphs indicates that as one variable increases, the other variable also increases at a constant rate. This relationship is represented graphically as a straight line with a positive slope.

When a graph shows a straight line with a positive slope, it means that for any given increase in the x-value, there is a corresponding increase in the y-value. This consistent rate of increase exemplifies a direct relationship, making it clear and predictable.

Conversely, a curve that bends upward does not maintain a constant slope, indicating a changing relationship rather than a direct one. A horizontal line suggests that the y-value remains constant regardless of changes in the x-value, indicating no relationship at all. Lastly, a straight line with a negative slope indicates that as one variable increases, the other decreases, which is contrary to a direct relationship.

Thus, the representation of a direct relationship in a graph is most accurately depicted by a straight line with a positive slope.