Graph Linear Functions

Front

What is a linear function?

Back

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

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, pick two points on the line, calculate the rise (change in y) over the run (change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

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.

Front

How do you identify the slope from an equation?

Back

In the equation y = mx + b, m represents the slope.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.