Exploring the Basics of Slope

The video tutorial explains the concept of slope as a measure of a line's steepness, represented as a ratio of vertical to horizontal change. It provides real-world examples like stairs, roofs, and ramps to illustrate slope. The tutorial covers different types of slopes: positive, negative, undefined, and zero. It concludes with three methods to find the slope of a line: using a graph, an equation, or two points.

What does the slope of a line measure?

• The width of the line

• The color of the line

• The slant or steepness of the line

• The length of the line

Which letter is commonly used to represent slope?

• S

• L

• N

• M

In the context of slope, what does 'rise over run' refer to?

• Horizontal change over diagonal change

• Diagonal change over vertical change

• Vertical change over horizontal change

• Horizontal change over vertical change

Which of the following is an example of slope in the real world?

• A closed door

• A flat table

• A set of stairs

• A round ball

Why is a ramp for handicapped access designed with a smaller vertical change compared to horizontal change?

• To make it longer

• To save materials

• To ensure it is not too steep

• To make it look better

What type of slope does a line have if it goes down as it moves to the right?

• Negative slope

• Undefined slope

• Zero slope

• Positive slope

What type of slope does a vertical line have?

• Negative slope

• Undefined slope

• Zero slope

• Positive slope

Why is the slope of a vertical line considered undefined?

• Because both changes are zero

• Because it has no length

• Because the horizontal change is zero

• Because the vertical change is zero

What is the slope of a horizontal line?

• Zero

• Positive

• Negative

• Undefined

Which method is NOT used to find the slope of a line?

• Using the equation of the line

• Measuring the length of the line

• Counting from point to point on a graph

• Using two points on the line