Line u passes through points (7, 1) and (1, 6). Line v is parallel to line u. What is the slope of line v?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
To find the slope of a line passing through two points, we use the formula:
\(\text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}}\)
Substituting the given points (7, 1) and (1, 6) into the formula:
\(\text{slope} = \frac{{6 - 1}}{{1 - 7}} = \frac{{5}}{{-6}}\)
Since line v is parallel to line u, it will have the same slope. Therefore, the slope of line v is \(\boxed{-\frac{{5}}{{6}}}\).