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What is the point-slope form of a line with slope 3 that contains the point (2, 1)?A.y - 2 = 3(x - 1)B.y + 1 = 3(x + 2)C.y - 1 = 3(x - 2)D.y - 2 = 3(x + 1)

Question

What is the point-slope form of a line with slope 3 that contains the point (2, 1)?A.y - 2 = 3(x - 1)B.y + 1 = 3(x + 2)C.y - 1 = 3(x - 2)D.y - 2 = 3(x + 1)

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Solution

The point-slope form of a line is given by the formula y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is a point on the line.

Given the slope m = 3 and the point (2, 1), we can substitute these values into the formula:

y - 1 = 3(x - 2)

So, the correct answer is C. y - 1 = 3(x - 2).

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