Exploring Constant Rate of Change and Slope from a Table

The video tutorial explains how to determine if a set of values represents a linear function by analyzing the changes in x and y values. It demonstrates that a constant rate of change in both x and y indicates a linear function. The slope is calculated as the change in y divided by the change in x, resulting in a positive value, confirming the linearity of the function.

What is the first step in determining if the given values represent a linear function?

• Calculate the slope

• Plot the values on a graph

• Check the changes in x values

• Check the changes in y values

What is the change in x from -5 to -7?

• Divide by 2

• Subtract 2

• Multiply by 2

• Add 2

What is the change in y from -8 to -16?

• Divide by 8

• Multiply by 8

• Subtract 8

• Add 8

What is the change in y from -24 to -32?

• Multiply by 8

• Add 8

• Divide by 8

• Subtract 8

What is the formula for calculating the slope?

• Change in x over change in y

• Product of x and y

• Sum of x and y

• Change in y over change in x

What is the slope of the given values?

• 4

• 2

• 6

• 8