rate of change and slope

Front

What is the definition of Rate of Change?

Back

The Rate of Change is a measure of how much a quantity changes in relation to another quantity, often represented as the slope of a line.

Front

What is the definition of Slope?

Back

The Slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

Is Rate of Change the same as Slope?

Back

True

Front

What is the formula for calculating Rate of Change?

Back

Front

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

Back

Front

What does 'rise over run' mean in the context of Slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

What is the Rate of Change for the following points: (1, 2) and (3, 8)?

Back

Front

What are the different ways to find the Rate of Change?

Back

The Rate of Change can be found using: 1) change in y over change in x, 2) rise over run, 3) subtracting y coordinates over subtracting x coordinates.

Front

If the coordinates of two points are (2, 5) and (4, 11), what is the Slope?

Back

Front

What is the significance of a positive Slope?

Back

A positive Slope indicates that as the x-value increases, the y-value also increases.