Unit 4 Review - Linear Functions

Front

What is the equation of a linear function?

Back

A linear function 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, indicating how much y changes for a unit change in x.

Front

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

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

What is the y-intercept of the function y = 3x + 5?

Back

The y-intercept is 5.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope is -4.

Front

How do you determine if a line is vertical or horizontal?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a. A horizontal line has a slope of 0 and is represented by an equation of the form y = b.

Front

What is the slope of the line represented by the equation y = 10?

Back

The slope is 0, indicating a horizontal line.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope m = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 2.

Front

What does it mean for a function to be linear?

Back

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

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).