To find the slope \( m \) of the line passing through the points \((x_1, y_1) = (97, -1)\) and \((x_2, y_2) = (22, 91)\), we can use the formula for the slope:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting in the coordinates of the points:
\[ m = \frac{91 - (-1)}{22 - 97} \]
This simplifies to:
\[ m = \frac{91 + 1}{22 - 97} \] \[ m = \frac{92}{22 - 97} \] \[ m = \frac{92}{22 - 97} = \frac{92}{-75} \]
Now, we can simplify \(\frac{92}{-75}\). The numerator and denominator have a common factor of 1, so:
\[ m = -\frac{92}{75} \]
Thus, the slope of the line that passes through the points \((97, -1)\) and \((22, 91)\) is
\[ \boxed{-\frac{92}{75}} \]