Linear Functions - additional practice

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 represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

Identify the slope in the equation y = (3/2)x + 3.

Back

The slope is 3/2.

Front

Which of the following is a characteristic of a linear function? A) It has a constant slope. B) It curves on a graph. C) It has a variable slope. D) It forms a circle.

Back

A) It has a constant slope.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.