Understanding Slope in Linear Functions

The video tutorial explains how to determine the slope of a linear function using a table of values. It introduces the concept of slope as the rate of change in a linear function, describes the formula for calculating slope as the change in y over the change in x, and demonstrates how to use a table of values to find the slope. An example calculation is provided, showing how to apply the formula to specific coordinates to determine that the function is growing linearly by three units for every one change in x.

What does the slope of a linear function indicate?

• The color of the graph

• The rate of change of the function

• The maximum value of the function

• The number of variables in the function

Which of the following best describes the 'rise' in the slope formula?

• The diagonal change in values

• The horizontal change in values

• The vertical change in values

• The total change in values

What is the 'run' in the slope formula?

• The change in y-values

• The difference between maximum and minimum values

• The change in x-values

• The sum of x and y values

How do you calculate the change in y-values when determining the slope?

• Multiply the y-values

• Subtract one y-value from another

• Divide the y-values

• Add the y-values together

When using a table of values, what is the first step in calculating the slope?

• Choose two sets of coordinates

• Find the average of all values

• Multiply all x-values

• Add all y-values

In the example provided, what is the calculated slope of the function?

• 1

• 2

• 4

• 3

What does a slope of 3 indicate about the function's growth?

• The function decreases by 3 units for every change in x

• The function grows by 1 unit for every change in x

• The function remains constant

• The function grows by 3 units for every change in x