Which of the following graphs represents the equation y - 4 = 3(x - 1)?

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Problem

Which of the following graphs represents the equation y - 4 = 3(x - 1)?

Step-by-step solution

The equation can be rewritten as $y = 3x + 1$. We test the points from each graph. For graph C, the point $(1, 4)$ gives $4 = 3(1) + 1$, which is true. The point $(2, 7)$ is not shown, but the slope is 3. The point $(0, 1)$ would also be on the line. The point $(1, -2)$ is not on the line.

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Answer

C