What term describes the relationship between two variables that graph as a straight line with a positive slope?

What term describes the relationship between two variables that graph as a straight line with a positive slope?

• A. Directly proportional
• B. Inversely proportional
• C. Constant ratio
• D. Exponential relationship

Answer: (A)

The term that describes the relationship between two variables that graph as a straight line with a positive slope is "directly proportional." When two variables are directly proportional, it means that as one variable increases, the other variable also increases at a constant rate. This linear relationship is characterized by a straight line when plotted on a graph, where the slope of the line represents the constant of proportionality. In a directly proportional relationship, the ratio of the two variables remains constant, which is why any increase in one variable results in a corresponding increase in the other, maintaining the straight line graph with a positive slope. This concept is fundamental in physics, allowing for the clear representation of relationships between quantities, such as distance and time in uniform motion.

The term that describes the relationship between two variables that graph as a straight line with a positive slope is "directly proportional." When two variables are directly proportional, it means that as one variable increases, the other variable also increases at a constant rate. This linear relationship is characterized by a straight line when plotted on a graph, where the slope of the line represents the constant of proportionality.

In a directly proportional relationship, the ratio of the two variables remains constant, which is why any increase in one variable results in a corresponding increase in the other, maintaining the straight line graph with a positive slope. This concept is fundamental in physics, allowing for the clear representation of relationships between quantities, such as distance and time in uniform motion.