Final answer:
The slope describes the rate at which the dependent variable y changes with each one-unit increase in the independent variable x, not the other way around. It is calculated as the 'rise over run' and is a fundamental component of the linear equation y = mx + b, where m is the slope.
Step-by-step explanation:
What is wrong with the statement: "The slope describes the change in x for a change in y." The correct answer is b. The slope describes the change in y for a change in x. The slope of a line, commonly represented as m, is a measure of how much the dependent variable (usually y) changes for a one-unit increase in the independent variable (usually x). This is sometimes referred to as "rise over run". In a linear equation of the form y = mx + b, m stands for the slope, while b represents the y-intercept, where the line crosses the y-axis when x equals zero. An increase in the slope value will make the line steeper, and the line will rotate counter-clockwise around the y-intercept. It is essential to understand the correct interpretation of the slope to accurately describe relationships between variables in a graph.