Final answer:
Without access to the scatterplot, it's impossible to select the best pair of points for calculating the slope of the line of best fit; however, points should be chosen based on their distribution and the general trend they depict in the data without being outliers themselves.
Step-by-step explanation:
The student's question revolves around selecting the best pair of points to use when calculating the slope of a line of best-fit on a scatterplot. Unfortunately, without the actual scatterplot, we are unable to directly select the correct pair of points, as this requires visual analysis. However, when determining a line of best fit, it is generally wise to choose two points that are far apart and follow the general trend of the data to minimize the effect of any individual outlier. The chosen points should also be representative of the overall data distribution, which means they should not be outliers themselves.
In general, to calculate the slope (m) between two points, you use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. By selecting two points that adequately reflect the data's trend, Miguel will be able to use this formula to determine an accurate slope for the line of best fit.