NC.8.F.2 - Comparing Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

How do you find the x-intercept of a linear function?

Back

Front

What is the y-intercept of a linear function?

Back

Front

How can you compare the slopes of two linear functions?

Back

Front

What does it mean if two linear functions have the same slope?

Back

If two linear functions have the same slope, they are parallel and will never intersect unless they have the same y-intercept, in which case they are the same line.

Front

How do you determine which linear function has a larger y-intercept?

Back

Front

What is the significance of the x-intercept in a real-world context?

Back

The x-intercept can represent a point where a quantity reaches zero, such as the time when a cost becomes zero or when a product is no longer available.

Front

How do you interpret the cost function of a service with a deposit and hourly rate?

Back

Front

What does it mean if a graph has a steeper slope than another?

Back

A steeper slope indicates a greater rate of change. In a real-world context, it means that one quantity is increasing or decreasing faster than another.