The point-slope form of a line is given by the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
In your case, the slope \(m\) is 3, and the point \((x_1, y_1)\) is \((-1, 4)\). Plugging these values into the formula, we get:
\[ y - 4 = 3(x - (-1)) \]
This simplifies to:
\[ y - 4 = 3(x + 1) \]
So, the point-slope form of the line is:
\[ y - 4 = 3(x + 1) \]
None of the options you provided exactly matches this correct form, but the closest rearranged version is:
Correct answer: \(y - 4 = 3(x - (-1))\) (this is the correct point-slope form translated from the equation).