7.4A & 7.7A Constant Rate of Change & Linear Relationships

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity, often represented as a linear relationship in a graph.

Front

How do you identify the slope of a linear graph?

Back

The slope of a linear graph can be identified by calculating the rise over run, which is the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the general form of a linear equation?

Back

Front

What is the y-intercept in a linear equation?

Back

Front

How can you determine if a relationship is linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) values increase, the output (y) values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) values increase, the output (y) values decrease.

Front

How do you write the equation of a line given two points?

Back

Front

What is the significance of the slope being positive?

Back

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