Exploring Slope Concepts and Applications

This video tutorial reviews four types of slopes: positive, negative, zero, and undefined. It explains how to calculate slope using the rise over run method and discusses the characteristics of slanted, horizontal, and vertical lines. The tutorial also covers the concept of proportional and non-proportional lines, emphasizing the importance of the y-intercept in determining proportionality. Additionally, it provides examples of zero and undefined slopes, highlighting the differences in their equations and graph representations.

What are the two directions in which slanted lines move?

• Diagonally and horizontally

• Vertically and horizontally

• Vertically and diagonally

• Only horizontally

How do we read graphs to determine the slope?

• From bottom to top

• From left to right

• From top to bottom

• From right to left

What is the equation form for all slanted lines?

• y = mx + b

• x = my + b

• y = b + mx

• x = b + my

What is the slope of a line if the rise is 2 and the run is 6?

• 3

• 6/2

• 1/3

• 2/6

If a line passes through the point (0, 3), what is the y-intercept?

• 1

• 3

• 0

• 2

What is the slope of a line that decreases from left to right?

• Undefined

• Positive

• Negative

• Zero

What type of slope does a completely flat line have?

• Undefined

• Zero

• Positive

• Negative

What is the equation form for a horizontal line?

• y = mx + b

• y = some number

• x = my + b

• x = some number

What is the slope of a vertical line?

• Zero

• Undefined

• Negative

• Positive

What is the equation form for a vertical line?

• y = mx + b

• y = some number

• x = some number

• x = my + b