Final answer:
The student is tasked with graphing a linear equation, which can be done by plotting points using the y-intercept and slope. A practice test may include creating a table of values for this process.
Step-by-step explanation:
The question is related to linear equations and involves solving a system by graphing. However, there is only one equation given: y = ¾ x - 4. This equation is in the slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept. To solve this system by graphing, you would need another equation to find the intersection point. However, since we're only dealing with one equation, we can graph it by first plotting the y-intercept at (0, -4), and then using the slope ¾, which means from the intercept, for every 4 units up (in the y direction), we go 3 units to the right (in the x direction). Connecting these points will give us the graph of the equation.
A practice test involving this concept may include creating a table of values to plot additional points and drawing the graph to represent the solution. This method helps students to understand how equations can represent graphical lines and how to construct them using given algebraic equations.
Expressing equations graphically is a consistent theme in this course, as demonstrated in the practice test items.