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 of the line, and \((x_1, y_1)\) is a point on the line.
Given:
- Slope (\( m \)) = -5
- Point (\( x_1, y_1 \)) = (-4, -1)
Substituting these values into the formula:
\[ y - (-1) = -5(x - (-4)) \]
This simplifies to:
\[ y + 1 = -5(x + 4) \]
Thus, the equation of the line in point-slope form is:
\[ y + 1 = -5(x + 4) \]