What is the point-slope form of a line with slope 2 that contains the point (1, 3)?A.y - 3 = 2(x - 1)B.y - 1 = 2(x - 3)C.y + 3 = 2(x + 1)D.y + 3 = -2(x - 2)
Question
What is the point-slope form of a line with slope 2 that contains the point (1, 3)?A.y - 3 = 2(x - 1)B.y - 1 = 2(x - 3)C.y + 3 = 2(x + 1)D.y + 3 = -2(x - 2)
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 that the slope m is 2, and the point (x1, y1) is (1, 3), we can substitute these values into the formula:
y - 3 = 2(x - 1)
So, the point-slope form of the line with slope 2 that contains the point (1, 3) is y - 3 = 2(x - 1), which corresponds to option A.
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