Unit rate/slope/ rate of change and Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = (y2 - y1) / (x2 - x1)).

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 rate of change?

Back

The rate of change describes how a quantity changes in relation to another quantity, often represented as the slope of a line.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the meaning of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the meaning of an undefined slope?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.