Describing Linear Functions (A.3C)

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 y changes for a unit change in x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented as (0, b) in the equation y = mx + b.

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis. It is represented as (a, 0) where a is the value of x when y = 0.

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the zero of a function?

Back

The zero of a function is the value of x that makes the function equal to zero. It is also known as the root of the function.

Front

What does it mean if a linear function has no x-intercept?

Back

If a linear function has no x-intercept, it means that the line is parallel to the x-axis and does not cross it.

Front

What is the significance of the point (0, 0) in a linear function?

Back

The point (0, 0) is the origin. If a linear function passes through this point, it means that the function has a y-intercept of 0.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.