Exploring Rate of Change and Slope Concepts

This video tutorial explains the concept of rate of change, which is equivalent to the slope of a graph. It covers how to calculate the rate of change from a table using the formula of change in y divided by change in x. The tutorial also demonstrates how to determine the slope from a graph, emphasizing the importance of understanding the rise over run concept. Various examples are provided to illustrate these calculations, ensuring a comprehensive understanding of the topic.

What is the rate of change from a table equivalent to when considering a graph?

• The intercept

• The origin

• The axis

• The slope

If the change in y is -3 and the change in x is -1, what is the rate of change?

• -3

• -1

• 1

• 3

When calculating the rate of change from a table, why is it important to use corresponding x and y values?

• To ensure the rate of change is constant

• To make the calculation easier

• To avoid negative values

• To find the intercept

What is the rate of change if y decreases by 4 and x increases by 10?

• 5/2

• -2/5

• 2/5

• -5/2

In a vertical table, what should you divide to find the rate of change?

• x by z

• z by y

• x by y

• y by x

What does the slope of a line represent in a graph?

• The rise over run

• The intercept

• The origin

• The axis

If the rise is -5 and the run is 4, what is the slope?

• -4/5

• -5/4

• 5/4

• 4/5

What does a negative slope indicate about the direction of a line on a graph?

• The line is vertical

• The line is horizontal

• The line goes upwards

• The line goes downwards

If a line goes up 2 units and to the right 3 units, what is the slope?

• -3/2

• 3/2

• -2/3

• 2/3

What should you predict about the slope if the line on a graph is going downwards?

• The slope is negative

• The slope is zero

• The slope is positive

• The slope is undefined