To find the slope of the line that passes through the given points, we can use the slope formula, which is defined as:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \( (x_1, y_1) \) and \( (x_2, y_2) \) are any two points on the line.
Let's use the points \( (0, 22) \) and \( (25, -13) \) for our calculation.
Here, \( x_1 = 0 \), \( y_1 = 22 \), \( x_2 = 25 \), and \( y_2 = -13 \).
Now plug these values into the formula:
\[ m = \frac{-13 - 22}{25 - 0} \]
Calculating the numerator:
\[ -13 - 22 = -35 \]
Calculating the denominator:
\[ 25 - 0 = 25 \]
So now we have:
\[ m = \frac{-35}{25} \]
This can be simplified. Both -35 and 25 can be divided by 5:
\[ m = \frac{-35 \div 5}{25 \div 5} = \frac{-7}{5} \]
Therefore, the slope of the line is:
\[ \boxed{-\frac{7}{5}} \]