Slope/Rate of Change: Tables, Graphs & 2-Points

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.

Front

How do you calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (1, 1) and (3, 5)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (5, 2) and (5, 6)?

Back

The slope is undefined (vertical line).

Front

What is the slope of the line that passes through the points (0, 0) and (4, 8)?

Back

The slope is 2.

Front

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

Back

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

Front

What is the rate of change of the line that passes through (6, 7) and (4, 2)?

Back

The rate of change is 5/2.