The line in the image is written as:

$y = -x + 2$

This is in slope-intercept form, which is $y = mx + b$, where $m$ represents the slope.

1. Slope of the given line:

From the equation $y = -x + 2$, we can see that the slope $m = -1$, since the coefficient of $x$ is $-1$.

2. Slope of a perpendicular line:

The slope of a line perpendicular to this one is the negative reciprocal of $-1$. The negative reciprocal of $-1$ is $1$.

3. Slope of a parallel line:

The slope of a line parallel to this one is the same as the original line, which is $-1$.

Summary:

• Slope of a perpendicular line: $1$
• Slope of a parallel line: $-1$

Let me know if you need further details or clarification! Here are some related questions:

1. How do you calculate the slope of a perpendicular line?
2. What happens to the slope of a line when it’s parallel to another?
3. How do you convert a linear equation into slope-intercept form?
4. Can two lines with the same slope intersect?
5. What is the geometric interpretation of the slope of a line?

Tip: The slopes of two perpendicular lines always multiply to give $-1$.