Constant Rate of Change

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 as a linear relationship.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratio of the values of x to y remains constant across the table.

Front

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

Back

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

Front

What does it mean if a graph has a constant slope?

Back

If a graph has a constant slope, it indicates that there is a constant rate of change between the x and y values.

Front

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

Back

Proportional relationships have a constant ratio between x and y, while non-proportional relationships do not maintain a constant ratio.

Front

Give an example of a real-world situation that demonstrates a constant rate of change.

Back

An example is driving at a constant speed of 60 miles per hour; the distance traveled increases consistently over time.

Front

What is the y-intercept in a linear equation?

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 do you determine if a set of points forms a linear relationship?

Back

If the points can be connected with a straight line, they form a linear relationship.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed, cost per item, or growth rate.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.