Consider the line $$ y=-x+8 $$, 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: $$ \square $$

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1. The given line is $$ y = -x + 8 $$.  
   Its slope is the coefficient of $$ x $$, so $$ m = -1 $$.

2. For a line parallel to the given line, the slope is the same.  
   Thus, the slope of a parallel line is $$ -1 $$.

3. For a line perpendicular to the given line, the slopes $$ m_1 $$ and $$ m_2 $$ satisfy:  
   $$
   m_1 \cdot m_2 = -1
   $$  
   Given $$ m_1 = -1 $$, solving for $$ m_2 $$:
   $$
   (-1) \cdot m_2 = -1 \quad \Rightarrow \quad m_2 = 1
   $$

Slope of a perpendicular line: $$ \boxed{1} $$
Slope of a perpendicular line: $$ 1 $$

Consider the line ,
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:

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Consider the line , 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: