1. The problem states that the slope $m$ of a line is $-\frac{5}{6}$. We want to understand what this means and how to use it. 2. The slope $m$ of a line is defined as the ratio of the change in $y$ to the change in $x$, or $$m = \frac{\Delta y}{\Delta x}.$$ This tells us how steep the line is. 3. A slope of $-\frac{5}{6}$ means that for every increase of 6 units in $x$, the value of $y$ decreases by 5 units. 4. If you want to write the equation of the line with this slope and a point $(x_1, y_1)$, you can use the point-slope form: $$y - y_1 = m(x - x_1).$$ 5. For example, if the line passes through the origin $(0,0)$, the equation simplifies to: $$y = -\frac{5}{6}x.$$