Linear Functions Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant.

Front

How do you determine if a function is linear or nonlinear?

Back

To determine if a function is linear, check if it can be expressed in the form y = mx + b. If it cannot, it is nonlinear.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What does the y-intercept of a linear function represent?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the function on the y-axis.

Front

Given the equation y = 3x + 2, what is the slope?

Back

The slope is 3.

Front

Given the equation y = -4x + 1, what is the y-intercept?

Back

The y-intercept is 1.

Front

If Dan drives 60 miles in 5 hours, what is his speed?

Back

Dan's speed is 12 miles per hour.

Front

If David drives 75 miles in 6 hours, what is his speed?

Back

David's speed is 12.5 miles per hour.

Front

Who drove faster: Dan or David?

Back

David drove faster.