math8: FLASHCARD review unit 4

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How is slope calculated from two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What are the x-values in a set of ordered pairs called?

Back

The x-values are called the domain.

Front

What are the y-values in a set of ordered pairs called?

Back

The y-values are called the range.

Front

In the context of a distance-time graph, what does a horizontal line represent?

Back

A horizontal line represents a constant distance, meaning there is no change in distance over time.

Front

What is the significance of the slope in a distance-time graph?

Back

The slope in a distance-time graph represents the speed or rate of distance traveled over time.

Front

If the slope of a line is 0, what does that mean?

Back

A slope of 0 means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

What is the range of a function?

Back

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