To write the equation of a line in point-slope form, we 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 \( (x_1, y_1) = (-7, 6) \)
Plugging these values into the point-slope formula, we get:
\[ y - 6 = -5(x - (-7)) \]
This simplifies to:
\[ y - 6 = -5(x + 7) \]
So, the equation of the line in point-slope form is:
\[ y - 6 = -5(x + 7) \]