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The equation in point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the given point is (-2, 4) and the slope is 3.
Using the point-slope form, we can substitute the values into the equation:
y - 4 = 3(x - (-2))
Simplifying the equation:
y - 4 = 3(x + 2)
This equation matches option C: y - 4 = 3(x + 2).