Final answer:
The question concerns how to graph a linear equation. It involves plotting data pairs, understanding the dependence of y on x, and using a graphing calculator to plot the line of best fit along with its variations, Y2 and Y3, which have the same slope but are shifted vertically.
Step-by-step explanation:
The student's question involves graphing a linear equation, which is a common task in algebra and represents the dependence of y on x. When plotting data pairs, such as those from the equation y = x² + 2, you can create a table to organize your x and y values before placing them on a graph. Similarly, for the linear equations provided, Y2 = -173.5 + 4.83x − 2(16.4) and Y3 = -173.5 + 4.83x + 2(16.4), these can be graphed by recognizing that they have the same slope as the line of best fit, y = -173.5+ 4.83x, but they are shifted vertically according to the terms -2(16.4) and +2(16.4), respectively. To graph the line of best fit or any linear equation on a calculator, you input the equation in the 'Y=' section and use graphing features to display it.