Final answer:
The student's question involves solving linear equations and determining the slope of a line. It requires algebraic manipulation to isolate variables and possibly using graphical tools like rulers and protractors for accurate diagram representations.
Step-by-step explanation:
The question appears to relate to solving a linear equation in a game-based scenario where the objective is to manipulate equations to cover certain points, which metaphorically "kills" a zombie. To solve such equations, one often needs to manipulate them to get the variables x and y on the same side. The process involves using known mathematical operations identically on both sides of the equations to maintain equality.
For example, if we have an equation and want to isolate y, we would subtract x from both sides, as indicated by the given statement, "And finally, we subtract x from both sides". Furthermore, calculating the slope of a line requires two distinct points on the line, and the slope can be determined using the formula slope = (Y₂ - Y₁)/(X₂ - X₁), where (X₁, Y₁) and (X₂, Y₂) are the two selected points. In more complicated situations, like vector representation or economic graphs showing substitution and income effects, one may need additional techniques such as the use of rulers and protractors to accurately sketch diagrams.