Consider the line $$ y=-x+3 $$. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line: Slope of a parallel line:

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To find the slopes of lines that are perpendicular and parallel to the given line $$ y = -x + 3 $$, 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 $$ y = -x + 3 $$, we can see that the slope $$ m $$ is $$-1$$.

2. **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. Therefore, if the slope of the original line is $$ m = -1 $$, the slope of the perpendicular line $$ m_{\perpendicular} $$ can be calculated as follows:
   $$
   m_{\perpendicular} = -\frac{1}{m} = -\frac{1}{-1} = 1
   $$

3. **Slope of a parallel line:**
   The slope of a line that is parallel to another line is the same as the slope of the original line. Therefore, the slope of the parallel line $$ m_{\parallel} $$ is:
   $$
   m_{\parallel} = m = -1
   $$

In summary:
- Slope of a perpendicular line: $$ 1 $$
- Slope of a parallel line: $$ -1 $$
Slope of a perpendicular line: 1 Slope of a parallel line: -1

Consider the line \( y=-x+3 \). What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line: Slope of a parallel line:

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