Deriving the Equation y = mx + b

The video tutorial covers lesson 9, session 2, focusing on the equation y=mx+b. It explains the components of the equation, including the slope (m) and y-intercept (b), and applies these concepts to real-world scenarios like Ramona's job earnings. The tutorial also includes modeling and analyzing line transformations and solving practice problems to reinforce understanding.

What does the 'm' in the equation y = mx + b represent?

• The y-intercept

• The slope

• The x-coordinate

• The y-coordinate

In the context of Ramona's earnings, what does the slope of line p represent?

• Her sign-on bonus

• The number of hours she worked

• Her hourly wage

• Her total earnings

What is the y-intercept of line q in Ramona's earnings example?

• $100

• $10

• $0

• $200

What does the y-intercept (b) represent in the equation y = mx + b?

• The rise over run

• The slope of the line

• The point where the line crosses the y-axis

• The x-coordinate of any point on the line

If a line has a slope of 10 and a y-intercept of 100, what is its equation?

• y = 10x + 100

• y = 100x + 10

• y = 100x - 10

• y = 10x - 100

In the practice problem involving bamboo seedlings, what does the slope represent?

• The growth rate of the seedlings

• The total height of the seedlings

• The number of days since planting

• The initial height of the seedlings

What is the y-intercept in the bamboo seedlings problem?

• 20 inches

• 10 inches

• 30 inches

• 0 inches

In Jennifer's weather app problem, what is the slope of the line?

• 1

• 2

• 3

• 4

What mistake did Julio make in his skateboard pricing equation?

• He used the wrong slope

• He confused the slope and y-intercept

• He forgot to include the x variable

• He used the wrong y-intercept

What is the correct equation for Julio's skateboard pricing?

• y = 10x + 15

• y = 15x + 10

• y = 10x - 15

• y = 15x - 10