Which statement about graph relationships is most accurate?

Which statement about graph relationships is most accurate?

• A. The x-axis shows the dependent variable.
• B. Graphs cannot show relationships.
• C. The relationship between variables can be interpreted from the slope on the graph.
• D. The y-axis shows the independent variable.

Answer: (C)

The main idea is that a graph conveys how one variable changes in response to another, and the slope is the key to reading that relationship. The slope, computed as Δy/Δx, tells you the rate of change: how much the dependent variable changes for each unit change in the independent variable. A positive slope means the dependent variable increases as the independent variable increases; a negative slope means it decreases; a larger magnitude indicates a stronger change. This makes the slope the best way to interpret the relationship you’re visualizing on the graph. Conventional plotting places the independent variable on the x-axis and the dependent variable on the y-axis, so statements about the axes swapping roles aren’t generally correct. And graphs do show relationships between variables; saying they cannot is simply inaccurate.

The main idea is that a graph conveys how one variable changes in response to another, and the slope is the key to reading that relationship. The slope, computed as Δy/Δx, tells you the rate of change: how much the dependent variable changes for each unit change in the independent variable. A positive slope means the dependent variable increases as the independent variable increases; a negative slope means it decreases; a larger magnitude indicates a stronger change. This makes the slope the best way to interpret the relationship you’re visualizing on the graph.

Conventional plotting places the independent variable on the x-axis and the dependent variable on the y-axis, so statements about the axes swapping roles aren’t generally correct. And graphs do show relationships between variables; saying they cannot is simply inaccurate.