The point-slope form of a line is given by the formula:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope, and \( (x_1, y_1) \) is the point the line passes through.
In your case, the slope \( m = 3 \) and the point \( (x_1, y_1) = (1, 4) \).
Plugging these values into the formula, we get:
\[ y - 4 = 3(x - 1) \]
So, the correct answer is:
\[ y - 4 = 3(x - 1) \]
The other options you listed are not correct representations of the point-slope form.