The point-slope form of the equation of a line is given by:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope, and \( (x_1, y_1) \) is a point on the line.
Given a slope \( m = 2 \) and the point \( (-5, 4) \):
- \( x_1 = -5 \)
- \( y_1 = 4 \)
Plugging these values into the point-slope form equation:
\[ y - 4 = 2(x - (-5)) \]
Which simplifies to:
\[ y - 4 = 2(x + 5) \]
This is the point-slope form of the equation of the line.