The point-slope form of a line is given by the equation:
\[ y - y_1 = m(x - x_1) \]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
Given the point \( (–8, 6) \) where \( x_1 = -8 \) and \( y_1 = 6 \), and the slope \( m = \frac{1}{10} \), we can substitute these values into the point-slope form equation:
\[ y - 6 = \frac{1}{10}(x - (-8)) \]
This simplifies to:
\[ y - 6 = \frac{1}{10}(x + 8) \]
So, the equation of the line in point-slope form is:
\[ y - 6 = \frac{1}{10}(x + 8) \]