1. The problem is to find the slope of a line given its equation. 2. The slope of a line in the form $y = mx + b$ is the coefficient $m$ of $x$. 3. If the equation is not in slope-intercept form, rearrange it to $y = mx + b$. 4. For example, given $2x + 3y = 6$, solve for $y$: $$3y = -2x + 6$$ $$y = -\frac{2}{3}x + 2$$ 5. The slope $m$ is $-\frac{2}{3}$. 6. Thus, the slope of the line is $-\frac{2}{3}$.