To write the equation of a line in point-slope form, you can use 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 this case, you have the point \((-6, -3)\) and the slope \(m = \frac{1}{7}\).
Plugging in these values:
\[ y - (-3) = \frac{1}{7}(x - (-6)) \]
This simplifies to:
\[ y + 3 = \frac{1}{7}(x + 6) \]
So, the equation of the line in point-slope form is:
\[ y + 3 = \frac{1}{7}(x + 6) \]