Consider the line $$ y=8 x-9 $$. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? Slope of a parallel line: Slope of a perpendicular line:

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To find the slopes of lines parallel and perpendicular to the given line $$ y = 8x - 9 $$, we first need to identify the slope of the given line.

1. **Identify the slope of the given line:**
   The equation of the line is in the slope-intercept form $$ y = mx + b $$, where $$ m $$ is the slope. From the equation $$ y = 8x - 9 $$, we can see that the slope $$ m $$ is $$ 8 $$.

2. **Slope of a parallel line:**
   Lines that are parallel have the same slope. Therefore, the slope of a line parallel to the given line is also $$ 8 $$.

3. **Slope of a perpendicular line:**
   The slope of a line that is perpendicular to another line is the negative reciprocal of the slope of the original line. The negative reciprocal of $$ 8 $$ is calculated as follows:
   $$
   \text{slope of perpendicular line} = -\frac{1}{8}
   $$

Now, summarizing the results:

- Slope of a parallel line: $$ 8 $$
- Slope of a perpendicular line: $$ -\frac{1}{8} $$
Slope of a parallel line: 8 Slope of a perpendicular line: -1/8

Consider the line \( y=8 x-9 \). What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? Slope of a parallel line: Slope of a perpendicular line:

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