Functions and Slope Test Review

Front

What is the definition of slope in a linear function?

Back

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

Front

How do you calculate 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 does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value remains constant while the y-value changes.

Front

How can you determine if a company shows a greater rate of change based on slope?

Back

You can compare the slopes of the functions representing the companies; the company with the greater slope has a higher rate of change.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as (12 - 4) / (6 - 2).

Front

What is the slope of the line represented by the equation y = (1/3)x - 2?

Back

The slope is 1/3, which indicates that for every 3 units moved horizontally, the line moves up 1 unit vertically.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the slope is represented by the coefficient 'm' of the x term.