The equation of the line is given in the point-slope form:
\[ y + 3 = -\frac{3}{7}(x - 2) \]
In this form, the slope \( m \) can be directly identified. The slope is the coefficient of the \((x - 2)\) term on the right side of the equation.
From the equation, the slope is:
\[ m = -\frac{3}{7} \]
Therefore, the slope of the line is \(-\frac{3}{7}\).