What is the equation of the curve that passes through the point (1, 2) and has a slope of 3 at that point?
Correct: A
The equation of a line with slope m and passing through the point (x1, y1) is given by y - y1 = m(x - x1). Plugging in the slope m = 3 and the point (1, 2), we get y - 2 = 3(x - 1), which simplifies to y - 2 = 3x - 3, and then to y = 3x - 1.