Rate of Change and Slope: Analyzing Tables and Graphs

The video tutorial covers the concept of rate of change and slope, starting with a review of linear relationships using tables and graphs. It explains how to calculate slope using the rise over run method and provides examples in various contexts. The tutorial also introduces the delta symbol for representing change and demonstrates the use of formulas for advanced slope calculations.

What is the output when the input is -1 for the equation y = 2x - 4?

• -6

• -2

• 0

• 2

What do we call the vertical change in a graph?

• Slope

• Rise

• Rate

• Run

If the change in y is +4 and the change in x is +2, what is the slope?

• 3

• 2

• 1

• 4

What symbol is used to represent 'change in'?

• Delta

• Gamma

• Beta

• Alpha

In the example with the table of values, what is the rate of change if the change in y is 30 and the change in x is 2?

• 25

• 10

• 15

• 20

What is the slope if the change in y is 15 and the change in x is 1?

• 15

• 25

• 20

• 10

How do you calculate the slope using the formula y2 - y1 / x2 - x1?

• Subtract x values from y values

• Divide x values by y values

• Divide y values by x values

• Subtract y values from x values

If a tank leaks 3 gallons in 4 minutes, what is the rate of leakage per minute?

• 1.25 gallons

• 1 gallon

• 0.75 gallons

• 0.5 gallons

Given two points (3, 8) and (5, 4), what is the slope?

• -2

• -1

• 1

• 2

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

• The line is decreasing

• The line is horizontal

• The line is increasing

• The line is vertical