Answer:
The correct graph for the line y - 2 = 3(x - 1) is option C.
Step-by-step explanation:
The correct graph for the line y - 2 = 3(x - 1) is option C.
In option C, all the necessary labels and ranges are provided for both the x and y axes. The x-axis ranges from -4 to 2 with labels at -4, -2, and 2. The y-axis ranges from -3 to 3 with labels at -2 and 2.
The graph in option C shows that the line passes through the points (-2,-1) and (1,2), which aligns with the equation y - 2 = 3(x - 1). Additionally, the point (-2,-1) is labeled on the line, further confirming that it represents the correct graph.
It's important to carefully analyze each option and consider the given points and labels to identify the correct graph that corresponds to the given equation.