1. **State the problem:** Find the slope of the line given by the equation $y + 8x = 12$.
2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $y = mx + b$, where $m$ is the slope.
3. **Isolate $y$:**
$$y + 8x = 12$$
$$y = 12 - 8x$$
4. **Rewrite to identify the slope:**
$$y = -8x + 12$$
5. **Identify the slope:** The coefficient of $x$ is the slope, so
$$m = -8$$
**Final answer:** The slope of the line is **-8**.
Line Slope 162Fa8
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.