Understanding Rate and Slope

The video tutorial covers the concepts of rate and slope, starting with an introduction to ratios and rates, including real-world examples. It explains how to calculate the rate of travel and gas consumption, and how these rates can be represented graphically. The tutorial then delves into the concept of slope, providing a formula and examples to calculate the slope of a line using given points. The video concludes with a discussion on horizontal and vertical lines and their slopes.

What is a ratio?

• A comparison of two quantities by division

• A sum of two quantities

• A difference between two quantities

• A product of two quantities

Which of the following is an example of a rate?

• 5 apples

• $20 per hour

• 10 miles

• 3 liters

How do you calculate the rate of travel in miles per hour?

• Multiply total miles by total hours

• Subtract total hours from total miles

• Divide total hours by total miles

• Divide total miles by total hours

What is the rate of gas consumption if you travel 380 miles using 15.8 gallons of gas?

• 30 miles per gallon

• 15 miles per gallon

• 20 miles per gallon

• 24 miles per gallon

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

• The slant or steepness of the line

• The length of the line

• The angle of the line

• The height of the line

How is the slope of a line calculated?

• By subtracting the x-coordinates

• By dividing the change in y by the change in x

• By multiplying the y-coordinates

• By adding the x-coordinates

What is the slope of a line passing through points (-4, 3) and (2, -6)?

• 2/3

• -2/3

• 3/2

• -3/2

If a line has a slope of 0, what type of line is it?

• Vertical

• Curved

• Horizontal

• Diagonal

What is the slope of a vertical line?

• Zero

• Negative

• One

• Undefined

Which of the following statements is true about vertical lines?

• They have a negative slope

• They have a positive slope

• They have an undefined slope

• They have a slope of zero