Final answer:
The slope represents the rate of change in the real-world relationship, and the y-intercept represents the initial value.
Step-by-step explanation:
The slope of a line represents the rate of change in the real-world relationship, while the y-intercept represents the initial value.
For example, consider a linear equation y = mx + b. The slope (m) measures how much y changes for every one-unit increase in x, indicating the rate of change. The y-intercept (b) gives the value of y when x equals zero, representing the initial value.
Therefore, option A is correct as the slope represents the rate of change, and option C is correct as the y-intercept represents the initial value.