To find the slope between the two points \((7, -1)\) and \((-8, 6)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (7, -1)\) and \((x_2, y_2) = (-8, 6)\).
Substituting in these values:
\[ m = \frac{6 - (-1)}{-8 - 7} \]
This simplifies to:
\[ m = \frac{6 + 1}{-8 - 7} = \frac{7}{-15} \]
So, the slope \(m\) between the points \((7, -1)\) and \((-8, 6)\) is:
\[ m = -\frac{7}{15} \]