Exploring Slope and Rate of Change Concepts

This video tutorial explains the concept of slope and rate of change, detailing how to find the slope of a graphed line. It covers the four types of slope: positive, negative, zero, and undefined. The tutorial provides step-by-step instructions on calculating slope using the rise over run method and includes examples to illustrate these concepts. Additionally, it explains how the rate of change is equivalent to the slope and provides practical examples to reinforce understanding.

What does the slope of a line describe?

• The width of the line

• The color of the line

• The steepness of the line

• The length of the line

How is slope commonly referred to when looking at a graph?

• Rise over run

• Run over rise

• Height over width

• Width over height

What type of slope does a line have if it moves up from left to right?

• Undefined

• Negative

• Positive

• Zero

What is the slope of a horizontal line?

• Negative

• Zero

• Positive

• Undefined

What is the slope of a vertical line?

• Undefined

• Positive

• Negative

• Zero

What is the first step in finding the slope of a graphed line?

• Draw a triangle

• Count the units

• Choose two points on the line

• Simplify the ratio

In the example where the rise is 4 and the run is 3, what is the slope?

• 3/4

• 3/1

• 4/3

• 1/3

If a line is decreasing from left to right, what is the slope?

• Undefined

• Zero

• Negative

• Positive

What is the slope if the rise is 12 and the run is 2?

• 6

• 24

• 12

• 2

How is the rate of change related to the slope?

• It is always different

• It is always equal

• It is always greater

• It is always less