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 unit change in the x-value.

Front

How do you find the slope from two points on a line?

Back

Front

What is the y-intercept of a linear function?

Back

Front

If a linear function has a slope of 0, what does that mean?

Back

A slope of 0 means that the function is a horizontal line, indicating that there is no change in the y-value as the x-value changes.

Front

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

Back

If two linear functions have the same slope, they have the same rate of change. They may be parallel lines or the same line if they also have the same y-intercept.

Front

How can you determine which of two linear functions has a greater rate of change?

Back

Compare the slopes of the two functions. The function with the larger absolute value of the slope has the greater rate of change.

Front

What is the standard form of a linear equation?

Back

Front

How do you convert a linear equation from slope-intercept form to standard form?

Back

Front

What is the significance of the rate of change in real-world applications?

Back

The rate of change helps to understand how one quantity changes in relation to another, which is crucial in fields like economics, physics, and engineering.