Which is the graph of the line y − 2 = 3(x − 1)? A.All the graphs have both x and y axis. The range of the x and y axis is minus three to three by increment of one. On the x axis minus two and two are labeled and on the y axis only two is labeled. In the graph, line passes through the points (-1, -2) and (0, 1). Point (-1,-2) is labeled on the line. B.All the graphs have both x and y axis. The range of x axis from minus four to two by increment of one. On the x axis minus four, minus two, and two are labeled. The range of the y axis is minus three to three by increment of one. On the y axis minus two and two are labeled. In the graph, line passes through the points (-2,-3) and (0,3). Point (-2,-3) is labeled on the line. C.All the graphs have both x and y axis. The range of x axis from minus four to two by increment of one. On the x axis minus four, minus two, and two are labeled. The range of the y axis is minus three to three by increment of one. On the y axis minus two and two are labeled. In the graph, line passes through the points (-2,-1) and (1,2). Point (-2,-1) is labeled on the line. D.All the graphs have both x and y axis. The range of the x and y axis is minus three to three by increment of one. On both the axis, minus two and two are labeled. In the graph, the line passes through the points (0,-1) and (1,2). Point (1,2) is labeled on the line.

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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.

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