Understanding Average Rate of Change and Slopes

The video tutorial explains the concept of average rate of change using graphs, equating it to the slope of a line. It describes how to identify positive, negative, and zero slopes on a graph. The tutorial then focuses on analyzing different intervals of a graph to determine which sections have a negative slope of -4. It concludes with a detailed calculation of slope values to identify the correct interval with the desired slope.

What is the average rate of change equivalent to in terms of graph analysis?

• The y-intercept

• The slope

• The x-intercept

• The curvature

Which of the following describes a positive slope?

• A vertical line

• A line going uphill

• A line going downhill

• A horizontal line

What does a zero slope indicate about a line?

• The line is going uphill

• The line is horizontal

• The line is going downhill

• The line is vertical

Which interval was identified as having a potential negative slope?

• Between 3 and 5

• Between 0 and 2

• Between -5 and 1

• Between -2 and 4

What is the slope of a line that goes 8 units down and 2 units to the right?

• 2

• 4

• -4

• -2

How many units do you move to the right from -2 to 4 on the x-axis?

• 7 units

• 6 units

• 5 units

• 4 units

In the interval from -1 to 1, how many units do you move down if you start at 7?

• 6 units

• 7 units

• 8 units

• 9 units

What is the result when you divide a rise of -8 by a run of 2?

• -4

• 2

• 4

• -2

Which interval was ultimately found to have a slope of negative 4?

• Between -2 and 4

• Between -5 and 1

• Between -1 and 1

• Between -8 and 2

What is the key concept to remember when calculating slope?

• The difference between rise and run

• The sum of rise and run

• The ratio of rise over run

• The product of rise and run