CONSTANT RATE OF CHANGE

Front

What is the Constant Rate of Change?

Back

The Constant Rate of Change is the rate at which one quantity changes in relation to another, often represented as a slope in a linear equation.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is linear and passes through the origin (0,0).

Front

What is the slope of a line that decreases at a constant rate?

Back

The slope of a line that decreases at a constant rate is negative.

Front

What is the slope of a line that increases at a constant rate?

Back

The slope of a line that increases at a constant rate is positive.

Front

What ordered pair represents the Origin on a graph?

Back

The Origin is represented by the ordered pair (0, 0).

Front

What does a linear graph look like?

Back

A linear graph is a straight line that can have a positive or negative slope.

Front

What is the formula for calculating the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is (y2 - y1) / (x2 - x1).

Front

If a graph passes through the origin and has a slope of 3, what is the equation of the line?

Back

The equation of the line is y = 3x.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it is not proportional.

Front

What is an example of a constant rate of change in real life?

Back

An example is a car traveling at a constant speed of 60 miles per hour.