Determining Slope from Linear Function Graphs

This video tutorial explores the characteristics of linear relationships, focusing on the constant rate of change. It explains the slope-intercept form of linear equations and demonstrates how to calculate the rate of change from both tables and graphs. The tutorial also covers identifying increasing and decreasing functions by analyzing graph slopes. Practice problems are provided to reinforce the concepts, and the video concludes with a summary of key points.

What is the main topic of the presentation?

• Characteristics of polynomial relationships

• Characteristics of exponential relationships

• Characteristics of linear relationships

• Characteristics of quadratic relationships

In the slope-intercept form of a linear equation, what does 'm' represent?

• The x-intercept

• The constant term

• The y-intercept

• The slope or rate of change

How is the rate of change 'm' defined?

• The change in x divided by the change in y

• The change in y divided by the change in x

• The sum of changes in x and y

• The product of changes in x and y

What is the rate of change if the change in y is 3 and the change in x is 2?

• 2

• 1.5

• 1

• 3

What visual tool is used to determine the rate of change from a graph?

• Slope lines

• Slope squares

• Slope triangles

• Slope circles

How can you identify an increasing function from its graph?

• It slopes down and to the right

• It slopes up and to the right

• It slopes up and to the left

• It slopes down and to the left

What indicates a decreasing function on a graph?

• It slopes down and to the left

• It slopes up and to the right

• It slopes down and to the right

• It slopes up and to the left

If a function has a negative rate of change, what can be said about its slope?

• The slope is undefined

• The slope is negative

• The slope is zero

• The slope is positive

What is the rate of change if the change in y is -4 and the change in x is 5?

• -4/5

• 4/5

• 5/4

• -5/4

What is the rate of change if the change in y is 5 and the change in x is 3?

• 3/5

• 5/3

• -3/5

• -5/3