Proportional, Linear, Rate of Change

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

Define rate of change.

Back

Rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a slope in a graph.

Front

What does a linear graph look like?

Back

A linear graph is a straight line that shows a constant rate of change between two variables.

Front

What is the slope of a line?

Back

The slope of a line is the ratio of the rise (change in y) to the run (change in x), indicating the steepness of the line.

Front

How do you calculate the rate of change from two points (x1, y1) and (x2, y2)?

Back

Rate of change = (y2 - y1) / (x2 - x1).

Front

What does it mean if a graph is non-linear?

Back

A non-linear graph does not form a straight line and indicates that the rate of change is not constant.

Front

Identify the characteristics of a proportional graph.

Back

A proportional graph passes through the origin (0,0) and has a constant slope.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

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.