Introduction to Linear Functions and Slope-Intercept Form

This lesson covers defining linear functions using graphs and tables, emphasizing the constant rate of change. It explores how adding or subtracting values affects linearity, verifies linearity through examples, and explains the slope-intercept form. The lesson concludes with a summary of key concepts.

What characteristic defines a linear function?

• It forms a zigzag pattern.

• It has a constant rate of change.

• It has a variable rate of change.

• It forms a curved line.

What happens to the graph of a linear equation when a constant is added to x?

• The line becomes horizontal.

• The line becomes steeper.

• The line moves up or down.

• The line becomes curved.

In the equation y = x + 4, what is the rate of change?

• 4

• 0

• 2

• 1

How does the equation B = -7.50m + 50 relate to Kristen's bank account?

• B represents the number of movie tickets.

• m represents the bank balance.

• B represents the bank balance.

• m represents the interest rate.

What is the rate of change in Kristen's bank account equation?

• 7.5

• 15

• -7.5

• -15

What is the effect of a positive y-intercept on the graph of a linear function?

• It moves the graph down.

• It makes the graph steeper.

• It moves the graph up.

• It flattens the graph.

What form is used to describe any linear function by changing m and b?

• Quadratic form

• Slope-intercept form

• Standard form

• Point-slope form