Understanding Linear Functions in Slope-Intercept Form

This video tutorial explains how to interpret linear functions in slope-intercept form. It covers identifying the slope and vertical intercept, calculating the horizontal intercept, and evaluating specific values of the function. The tutorial also demonstrates how to predict future values of the function, using a bank account balance example to illustrate these concepts.

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

• The vertical intercept

• The slope

• The constant term

• The horizontal intercept

In the function a(m) = 200 - 1.25m, what does the slope indicate?

• The account balance increases by $1,250 each month

• The account balance decreases by $1,250 each month

• The account balance increases by $1,250 each year

• The account balance remains constant

How is the vertical intercept identified in the function a(m) = 200 - 1.25m?

• It is the input variable

• It is the coefficient of m

• It is the constant term

• It is the slope

What does the vertical intercept represent in the context of the bank account?

• The monthly deposit

• The initial balance

• The interest rate

• The monthly withdrawal

What is the horizontal intercept of the function a(m) = 200 - 1.25m?

• 0 months

• 1.25 months

• 160 months

• 200 months

What does the horizontal intercept indicate about the bank account balance?

• The balance will be $200,000

• The balance will be $80,000

• The balance will be $1,250

• The balance will be $0

What is the balance of the bank account after 12 months?

• $80,000

• $1,250

• $200,000

• $185,000

How many months will it take for the bank account balance to reach $80,000?

• 12 months

• 0 months

• 160 months

• 96 months

If the balance is $80,000, what is the corresponding value of m?

• 12

• 96

• 160

• 200

What does the ordered pair (96, 80) represent in the context of the bank account?

• The balance will be $80,000 after 96 months

• The balance will be $96,000 after 80 months

• The balance will be $80,000 after 160 months

• The balance will be $96,000 after 12 months