Final answer:
The appropriate line of best fit for the scatter plot is y = -0.13x + 4.65, which represents the trend in the data points and allows for future predictions.
Step-by-step explanation:
The appropriate line of best fit for the scatter plot showing the number of households that have cable television over eight consecutive years is y = -0.13x + 4.65.
The line of best fit represents the trend in the data points and allows us to predict the number of households with cable television for future years.
For example, if x represents the number of years since the start of the data collection, and y represents the number of households with cable television, we can use the equation y = -0.13x + 4.65 to estimate the number of households for any given year.