Constant Rate of Change Practice

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 over time, often represented by a linear function.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified by a straight line on a graph, indicating a constant rate of change between the x and y values.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables, indicating how much one variable changes for a unit change in another variable.

Front

What is the formula for calculating the slope of a line?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you determine the y-intercept from a linear equation?

Back

In the equation of a line in slope-intercept form (y = mx + b), the y-intercept is represented by the value of b.

Front

What is the difference between a function and a non-function?

Back

A function is a relation where each input has exactly one output, while a non-function may have multiple outputs for a single input.

Front

What is a graph that represents a constant rate of change?

Back

A graph that represents a constant rate of change is a straight line, indicating that the relationship between the variables is linear.