To write the equation of a line in point-slope form, you can use the formula:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope and \( (x_1, y_1) \) is a point on the line.
Given:
- Slope \( m = -5 \)
- Point \( (x_1, y_1) = (-4, -8) \)
Substituting these values into the formula:
\[ y - (-8) = -5(x - (-4)) \]
This simplifies to:
\[ y + 8 = -5(x + 4) \]
So, the equation of the line in point-slope form is:
\[ y + 8 = -5(x + 4) \]