Front

What is the slope of a linear function?

Back

The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

Slope (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 as (0, b) in the slope-intercept form y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does the domain of a function represent?

Back

The domain of a function represents all possible input values (x-values) for which the function is defined.

Front

What does the range of a function represent?

Back

The range of a function represents all possible output values (y-values) that the function can produce.

Front

If a linear function has a slope of 0, what does that indicate about the graph?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.

Front

What is the significance of a positive slope in a linear function?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What is the significance of a negative slope in a linear function?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.