To calculate the slope between the points \((6, 1)\) and \((2, 6)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (6, 1)\) and \((x_2, y_2) = (2, 6)\).
Now, substituting the values into the formula:
\[ m = \frac{6 - 1}{2 - 6} \]
Calculating the numerator and denominator:
\[ m = \frac{5}{2 - 6} = \frac{5}{-4} \]
Thus, the slope is:
\[ m = -\frac{5}{4} \]
So, the slope between the points \((6, 1)\) and \((2, 6)\) is \(-\frac{5}{4}\).