The point-slope form of the equation 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 point is \( (-1, -3) \) and the slope \( m \) is 4.
Plugging these values into the formula:
\[ y - (-3) = 4(x - (-1)) \]
This simplifies to:
\[ y + 3 = 4(x + 1) \]
Thus, the correct equation in point-slope form is:
\[ y + 3 = 4(x + 1) \]
From the options you provided, the answer is:
y + 3 = 4 (x + 1).