If a graph has a positive slope, what can be said about the relationship between the two variables?

Study for the TExES Mathematics 4-8 Test. Practice with flashcards and multiple choice questions. Assess your knowledge to prepare effectively and excel in your exam!

When a graph has a positive slope, it indicates that as one variable increases, the other variable also increases. This direct relationship between the two variables signifies that they move in the same direction. Therefore, it can be said that they are directly proportional. In a directly proportional relationship, a change in one variable results in a corresponding change in the other variable at a constant rate.

For example, if you were to plot a line where the x-axis represents time and the y-axis represents distance, a positive slope would show that as time increases, the distance traveled also increases. This is a clear indicator of a relationship where both variables increase together, highlighting the fundamental concept of direct proportionality in mathematics.

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