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 your case, the slope \( m \) is \( \frac{1}{5} \) and the point \( (x_1, y_1) \) is \( (6, -4) \).
Plugging these values into the point-slope formula:
\[ y - (-4) = \frac{1}{5}(x - 6) \]
This simplifies to:
\[ y + 4 = \frac{1}{5}(x - 6) \]
So, the equation of the line in point-slope form is:
\[ y + 4 = \frac{1}{5}(x - 6) \]