The document discusses the concepts of parallel, perpendicular, and skew lines and their applications in various professions such as architecture and music. It defines key terminology including transversal, rise, run, and slope, providing a foundation for understanding line relationships in geometry. Examples are given to identify and calculate slopes in the context of these concepts.

2. Introduction:
• Many people use parallel and perpendicular
lines and planes. You use them in your daily
life; you will as well use it in your future. Who
uses them? Do you know? Well there are a lot
of them such as:
• Card architects.
• Piano makers.
• Rowers.

3. Vocabulary:
• Parallel lines: are coplanar that don’t intersect.
• Perpendicular lines: intersect at 90 degrees.
• Skew lines: are not coplanar and are not parallel
and do not intersect.
• Transversal: Is a line that intersects 2 coplanar
lines at two different points.

4. Vocabulary:
• Rise: difference in the y-values of two points
on a line.
• Run: difference in the x-values of two points
on a line.
• Slope: is the ratio of rise to run.
• Slope formula:

6. Parallel line?
The parallel line here is

7. Skew line?
Are skew lines in the figure shown.

8. Transversal line?
The red line is the
transversal in each
example

11. Identify the slope:

12. Slope?
Slope =

14. Example for Slope: