Constant Rate of Change Graphs

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where a quantity changes at a consistent rate over time, meaning the same amount is added or subtracted in equal intervals.

Front

How can you identify a constant rate of change on a graph?

Back

A constant rate of change is represented by a straight line on a graph, indicating that the relationship between the two variables is linear.

Front

What does the slope of a line represent in a constant rate of change graph?

Back

The slope of a line represents the rate of change between the two variables; it shows how much one variable changes for a unit change in the other variable.

Front

If a line on a graph has a slope of 2, what does that mean?

Back

A slope of 2 means that for every 1 unit increase in the x-variable, the y-variable increases by 2 units.

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 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 0.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Front

Can a constant rate of change be represented in a table?

Back

Yes, a constant rate of change can be represented in a table where the differences between consecutive values of the dependent variable are constant.

Front

What is an example of a real-world situation that demonstrates a constant rate of change?

Back

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